100 first-grade mathematics application questions

1. Qingshan Cement Factory is developing at an annual growth rate of 10%. It is known that the output in the third year is 2662 tons. What is the output in the first year?

2． Last year, two factories, A and B, completed the production tasks of 112 and 110 respectively. *** produced 4,000 units, which was 400 units more than the original planned task (the sum of the two factories). Please ask: How many units did factory A overproduce?

3. There are 28 workers in a workshop. Each worker can produce 12 bolts or 18 nuts per day. Each bolt must be equipped with two nuts. How to allocate the number of workers so that the daily output can be matched?

4. An alloy of gold and silver (a substance formed by the fusion of several metals) weighs 250g. It weighs 16g when placed in water. It is known that gold weighs lighter in water and silver weighs lighter in water. Find the proportions of gold and silver in this alloy. How many.

5. In order to improve the ecological environment, the first grade of junior high school participated in tree planting activities on Arbor Day. The school distributed a batch of saplings to each class according to the following principles. The first class of junior high school (1) took 100 trees, and the remaining ones were taken away. The class took away 200 saplings, and then took away the rest... and so on, and finally all the saplings were taken by each class, and the saplings obtained by each class were equal. How many saplings did *** have? How many classes are there in the first grade of junior high school?

6. A person rides a bicycle to school. If the speed is 15 kilometers/hour, he will arrive 15 minutes early. If the speed is 9 kilometers/hour, he will arrive 15 minutes late. Now he plans to arrive 10 minutes early. What should the speed of the bicycle be?

7. The sum of the ages of A and B this year is 63. When A’s age is half of B’s current age, B is exactly A’s current age. What is the age of A and B each this year? age?

8． An electronic product was sold at a price of 80 last year, but it made a profit of 20. Since the purchase price this year was lower, if it was sold at the same price of 75, it made a profit of 25. Then what fraction of the purchase price this year was last year? How many?

9. A team is 1,200 meters long and moves at a speed of 80 meters per minute. The liaison officer at the front of the team takes 6 minutes to run to the end of the team to deliver the order. Ask the liaison officer how many meters per minute he travels ?

10. A plane flies between two cities. The wind speed is 24 kilometers/hour. It takes 2 hours and 50 minutes to fly with the wind and 3 hours to fly against the wind. Find the distance between the two cities.

11. A project requires 10 days for A to do alone, 12 days for B to do, and 15 days for C to do alone. How many days will it take to complete the work?

12. Two warehouses are used to load grain. The first warehouse is three times the amount of grain stored in the second warehouse. If 20 tons are taken out from the first warehouse and placed in the second warehouse, Among the two warehouses, the grain in the second warehouse is the same as that in the first warehouse. How much grain is in each warehouse? 13. A two-digit number, the tens digit and the number in the ones digit. The sum is 11. If the numbers in the tens place and the numbers in the ones place are swapped, then the number obtained is 63 greater than the original number. Find the original two-digit number

14. A group of students went to the military Halfway through the training, the team leader has something to notify from the front to the end of the team. The correspondent moves from the front to the end of the team at a speed of 18 meters/min. It is known that the traveling speed of the team is 14 meters/min. Question: If If we know that the captain is 320 meters, how many minutes will it take for the correspondent to return? If we know that the correspondent took 25 minutes, how many meters will the captain be?

15. The length, width, and height of a cuboid are 260mm, 150mm, and 325mm respectively. The base area of ??B is 130×130mm2. We also know that the volume of A is 2.5 times that of B. What is the height of B? 16. The scoring rules of a football match are 3 points for a win, 1 point for a draw, and 1 point for a loss. Score 0 points. A football team needs to play 14 games. It has played 8 games, lost 1 game, and scored 17 points. Question:

⑴ How many wins did this football team win in the first 8 games? games?

⑵This team has played 14 games. What is the highest score it can score?

⑶Through the analysis of the game situation, this team has played 14 games. , scoring no less than 29 points can achieve the expected goal. So, in the next 6 games, this team will have to win at least how many games to achieve the expected goal?

17 .A ship travels 20 kilometers per hour against the current and 16 kilometers per hour against the current. Find the speed of the ship in still water and the speed of the water.

18. A basket of eggs. This basket can hold up to 55 eggs. There were about 3 eggs. Xiaobao counted 3 eggs and found 1 egg was left. But he forgot how many times he had counted them, so he had to count them again. He counted 5 eggs and found 2 eggs, but he forgot how many times he had counted them. How many eggs were there? Only eggs?

19. Liu Xiang rode a bicycle from school to the county town. He walked a distance due to road construction on the way and arrived at the county town 1 hour later. His average cycling speed was 25km/h and his average walking speed was 5km/h, the total distance is 20km. How long does it take for him to ride a bicycle and walk?

20. A travel agency organized a tour for female employees during Women’s Day. The tour group had less than 38 people, so it was arranged When I checked in, I realized that there were only a few rooms left in the hotel. If I arranged for 3 people to stay in one room, 5 people would have no place to stay. If I arranged for 4 people to stay in one room, one room would be unoccupied and one room would be empty. Room. How many people and rooms are there in ***? 21. If in the solution of the equation system {4x 6y=k? 9x-6y=11, the value of

The opposite of the value is greater than 1, then k=?

22. Two objects A and B move at a uniform speed on a circular orbit with a circumference of 600 meters. A’s speed is faster. When the two objects move in opposite directions, they meet every 15 seconds. When two objects move in the same direction and meet every 1 minute, find the speed of the two objects. 23. Send radio waves to the moon. It takes 2.57 seconds for the radio waves to reach the moon and return to the ground. It is known that radio waves propagate 3 times 10 to the power of 5 kilometers per second. Find the distance between the moon and the earth (retain 3 valid results) Number)

24. An elastic ball drops to the ground from point A, bounces to point D, then drops to a platform with a height of 20cm, bounces to point C, and finally falls to the ground. . The height of each bounce is 80 of the falling height. It is known that point A is 68cm higher from the ground than point C. Find the height of point C from the ground. 25. A pile of toys is divided among several children. If each child is given 3 pieces, 3 pieces will remain; if each child is given 5 pieces, the last person will get less than 3 toys. So how many children are there? ?26. A student from a school goes on a trip and walks 4 kilometers per hour. Two hours after departure, the school receives a notice requiring the correspondent to arrive within 40 minutes. How many kilometers per hour must the correspondent ride a bicycle at least? ?

27. The ex-factory price of a certain home computer is 6,000 yuan, and various management fees are 15 of the ex-factory price. This management fee must be included in the retail cost. In order to ensure that the profit margin of each computer is not less than 10, what is the appropriate retail price for the merchant? 28. A furniture mall sells tables and chairs with unit prices of 500 yuan/piece and 60 yuan/piece respectively. The mall has formulated two preferential methods: (1) buy a table and get two chairs for free; (2) based on the total price 87.5 payment. A customer needs to purchase 5 tables and a number of chairs (not less than 10). If it is known that the purchase quantity is x (pieces) and the payment amount is y (yuan), try two discount methods using Express y algebraically and discuss which of the two methods will save more money when the customer buys the same chair?

29. A certain unit plans to organize employees to travel to Beijing during the National Day holiday. The number of people is estimated to be between 10 and 25. It is known that travel agencies A and B organize travel to Beijing at the same price. 500 yuan per person. When contacted by this unit, Travel Agency A said it would give each passenger a 25% discount, Travel Agency B said it would waive the fee for one passenger and give the others a 20% discount.

(1) If 12 people travel to Beijing, which travel agency is suitable? Why?

(2) If 24 people go on a trip, which travel agency is suitable? Why?

(3) How many people participating in the tour spent the same amount at two travel agencies A and B?

(4) If the number of people is between 10 and 25, how to choose a travel agency?

30. The sum of three consecutive odd numbers is 15. What is their product?

31. To welcome the National Day, workers raised 100 balloons in Tianfu Square. After Xiao Ming finished counting, he said: "Looking at it in sequence, there are 3 red ones out of every 4." Xiaohua said: "Looking at it in sequence, there are 3 yellow ones out of every 4." They are right, you can calculate that there are A few red and a few yellow balloons?

32. The father and son are 26 years apart this year, and 15 years later they will be ? years apart.

33. When n means 1, 2, 3, 4, 5, 6. . . . . . When , 2n represents , 2n-1 represents .

34. During the Spring Festival, grandpa had some RMB and distributed it to Xiao Ming, Xiao Hong and Xiao Gang. The new year's money that grandpa planned to give to Xiao Ming, Xiao Hong and Xiao Gang were each one-third of grandpa's total money. One-quarter, one-sixth, and grandpa's money is 75 yuan. How much money does grandpa have? 9. The store sells a certain color TV at 20% off the listed price and can still make a profit of 20 (20% of the purchase price). It is known that the purchase price of each color TV of this brand is 2,000 yuan. How much is the price of each color TV of this brand? ?

35. Starting from November 1, 1999, interest tax will be levied on savings deposits nationwide. The interest tax rate is 20. Teacher Wang deposited RMB 20,000 in the bank on May 1, 1999. If the deposit is fixed for one year and the annual interest rate is 3.78, then on the maturity date of the deposit, Teacher Wang can get the principal and interest of *** yuan in one ***.

36. The annual interest rates for 1-year, 2-year, 3-year and 5-year savings in the set period are 2.25, 2.43, 2.70 and 2.88 respectively. Try to calculate how much interest will be earned when the principal of 1,000 yuan is invested in these four kinds of savings respectively (national regulations: personal savings will be levied interest tax starting from November 1, 1999, and the interest tax rate is 20% of the interest). Analysis As a result, what can you find? (Hint: Interest = principal × annual interest rate × number of years of savings)?

37. The number of machine parts produced by three workers A, B, and C in a factory every day is: the ratio of A to B is 3 : 4. The ratio of B to C is 5:6. If the number of pieces produced by B per day is 931 less than the sum of A and C, how many pieces does each worker produce per day?

38. It is known that the first grade (1) and the first grade (2) classes each have 44 students. Each has some students participating in extracurricular astronomy groups. The number of students participating in the astronomy group in class (1) is exactly (2 1/3 of the number of people in class ) who did not participate. The number of people in class (2) who participated in the astronomy group was 1/4 of the number of people in class (1) who did not participate. How many people participated in each of the two classes?

39. There are three departments in a certain department. Department A has 84 people, department B has 56 people, and department C has 60 people. If each department cuts off its staff in the same proportion, 150 people will remain at this level. How many people are left in department C?

40. There are 60 workers in a certain workshop, which produces a certain supporting product. The product is made of one bolt and two nuts. Each worker produces an average of 14 bolts or 20 nuts per day.

How many workers should be allocated to produce bolts, and how many workers should be allocated to produce nuts, so that the produced bolts and nuts are exactly matched?

1. Fill-in-the-blank questions (3 points for each question, maximum 18 points)

41. A and B are running on a circular track with a length of 400 meters. It is known that A runs 9 meters per second and B runs 7 meters per second.

(1) When two people are walking in the same place at the same time with their backs facing each other, they meet for the first time after __________ seconds;

(2) Two people are in the same place and in the same direction at the same time While walking, the two met for the first time after __________ seconds.

42. In order to improve the ecological environment and avoid soil erosion, a certain village actively planted trees. The original plan was to plant 60 trees per day, but the actual tree planting was 80 trees per day. As a result, the tree planting task was completed 4 days earlier than expected, so the planned number of trees to be planted was __________.

43. Use a rope to form a square, and use this rope to form a circle. It is known that the radius of the circle is 2 (π-2) meters less than the side length of the square. What is the length of this rope? __________ meters.

44. The purchase price of a certain kind of flowers is 5 yuan per branch. If you sell them at 20% off the listed price, you can still make a profit of 3 yuan. How much is the listed price per branch? If the listed price is x yuan per branch, then the equation can be __________, The solution is x=__________.

45. If the tens digit of a two-digit number is half of the ones digit and the sum of the two digits is 9, then the two-digit number is __________.

46 A drug now sells for 56.10 yuan, which is 15% lower than the original price. The original price was __________ yuan.

2. Multiple-choice questions (3 points each, maximum 24 points)

47. Li Bin circled three adjacent numbers on a certain column of the calendar and calculated their sum. The one that was definitely wrong was

A. 20 b. 33C. 45 D. 54

48 A family of three is going to travel in a tour group. Travel agency A tells them that "adults buy the full ticket, and children pay half price." Travel agency B tells them that "family travel can be priced on a group basis, that is, each person is priced at 8% of the full ticket." "Discount", if the original price per person of the two travel agencies is the same, then

A. A is more favorable than B. B. B is more favorable than A

C. A and B receive equal discounts D. Which one is more favorable depends on the original price

49. The speed of the airplane when going against the wind is x kilometers/hour and the wind speed is y kilometers/hour. Then the speed of the airplane when going downwind is

A. (x y) kilometers/hour B. (x-y) kilometers/hour

C. (x 2y) kilometers/hour D. (2x y)km/h

50. A line a meter long moves forward at a speed of 60 meters per minute. A student at the end of the line takes 1 minute to walk from the end of the line to the front. The distance traveled by this student is

A. a meter B. (a 60) meters C. 60a meters D． m

51． A works alone takes 10 days to complete a project. B's work efficiency is twice that of A. The two work together for m days but it is not completed. The remaining workload is completed by B. The number of days remaining is

A. 1－( )m B. 5- m

C. m D. None of the above is correct

52. On a mountain road, someone walks from the bottom of the mountain to the top of the mountain for 3 hours and still has 1 kilometer to reach the top of the mountain. If it only takes 150 minutes to walk from the top of the mountain to the bottom of the mountain, it is known that the speed of going down the mountain is 1.5 times the speed of going up the mountain. Find the distance from the bottom of the mountain to the top of the mountain. distance. Assuming that the speed up the mountain is x kilometers/minute, the equation listed is

A. x-1=5(1.5x) B． 3x 1=50(1.5x)

C. 3x-1= (1.5x) D. 180x 1=150(1.5x)

53． The price of a certain product is a yuan. After the price was reduced by 10 yuan, the price was reduced by 10 yuan. Sales surged. The store decided to raise the price by 20 yuan. After the price increase, the price of this product is

A. a yuan B. 1.

08a yuan C. 0.972a yuan D． 0.96a yuan

54. The "Individual Income Tax Regulations" stipulate that citizens whose salary does not exceed 800 yuan per month do not need to pay tax. The portion exceeding 800 yuan is taxed in stages according to the excess amount. The detailed tax rate is as follows. If a person pays 80 yuan in December, his monthly salary is

Monthly tax payable amount tax rate ()

Not exceeding 500 yuan5

Exceeding 500 yuan to 2,000 yuan10

Exceeding 2,000 Yuan to 5,000 yuan 15

…………

A. 1900 yuan B． 1,200 yuan C. 1,600 yuan D. 1050 yuan

3. Short answer questions (***58 points)

55. (13 points) Use a 40 cm long wire to surround a plane figure. (1) If it forms a square, the side length is __________ and the area is __________. At this time, the difference between the length and width is __________.

(2) If it forms a rectangle with a length of 12 cm, the width is ______ and the area is ______. At this time, the difference between the length and width is ____.

(3) If it forms a rectangle with a width of 5 cm, the length is ______ and the area is ______. At this time, the difference between the length and the width is ______.

(4) If it forms a circle, the radius of the circle is ________ and the area is ______ (π is 3.14, and the result is kept to one decimal place).

(5) Conjecture: ① When the perimeter remains constant, if the enclosed figure is a rectangle, then as the difference between the length and width becomes smaller and smaller, the area of ??the rectangle becomes more and more ______ (fill in " "Big" or "Small"), ② When the perimeter remains unchanged, among the various planar figures enclosed by it, ______ has the largest area.

56． (9 points) In a volleyball match for middle school students in a city, a win is worth 2 points, a tie is worth 1 point, and a loss is worth 0 points. The city’s No. 4 middle school volleyball team participated in 8 games and maintained an unbeaten record. , *** scored 13 points. How many games did he win?

57. (9 points) Xiao Zhao and Xiao Wang discussed their activities during the summer vacation. Xiao Zhao said: "I attended a science and technology summer camp and went out for a week. The sum of the dates in these seven days is 84. Do you know what day I went out?" Xiao Wang said: "I stayed at my uncle's house for seven days during the holiday. The sum of the dates plus the month is also 84. Can you guess what day of the month I came home?" Try it, list the equations, and solve the small The problem between Zhao and Xiao Wang.

59. (9 points) A batch of saplings will be collected by each class in the following manner: the first class will take 100 trees and the rest, the second class will take 200 trees and the rest, the third class will take 300 trees and the rest,...the last saplings All have been taken, and the number of saplings in each class is equal. Find the total number of saplings and the number of classes.

60. (9 points) Li Hong bought notebooks for the class as prizes at the party. When she came back and handed in the account to life committee member Liu Lei, she said: "*** bought 36 notebooks, in two specifications, with unit prices of 1.80 yuan and 2 yuan respectively. . 60 yuan. When I went there, I received 100 yuan, and now I got back 27.60 yuan." Liu Lei calculated and said, "You must have made a mistake." Li Hong thought about it and realized that it was indeed wrong, because he put the original money in his pocket. The 2 yuan was given to Liu Lei as the recovered money. Could you please calculate how much you bought for each of the two notebooks? Think about whether it is possible to get back 27.60 yuan, and use your knowledge of equations to explain.

61． (9 points) The extracurricular table tennis group of class 1 (4) of junior high school bought two pairs of table tennis boards. If each person pays 9 yuan, then there is an increase of 5 yuan. If each person pays 8 yuan, then there is still a shortfall of 2 yuan. Please Ask questions based on the above situations and solve parallel equations.

62. According to "Xinhua Daily", Brazilian doctor Ma Tingen concluded after 10 years of research: People involved in corruption are prone to cancer and cardiovascular disease. If they are guilty of corruption or bribery, Comparing the 580 officials with the 600 honest officials, it can be found that the number of healthy officials in the latter group is 272 more than the number of healthy officials in the former group.

There are 444 people with both diseases (including deaths). What percentage of the healthy number of officials guilty of corruption and bribery accounted for the 580 officials? What percentage of the healthy number of honest officials accounted for the 600 officials? How many?

63. There are 200 workers in a plastics factory. In order to improve operations, a plastic raincoat-making project has been added. It is known that each worker can weave 30 meters of plastic cloth per day or use the plastic cloth to make clothes. 4 pieces, one piece of clothing requires 1.5 meters of cloth, and the profit is 25 yuan; selling the cloth directly can make a profit of 2 yuan per meter. If each worker can only do one job a day, and other factors are not taken into account, let the arrangement x Workers make clothes.

Try to find: (1) Use an algebraic expression containing x to express the daily profit Q that the factory can obtain;

(2) When x=166, find the value of Q;

(3) Can 167 workers be arranged to make clothes to increase profits? and explain the reasons.

Average Word Questions

64 A car drove 170 kilometers in the first 3 hours and 250 kilometers in the next 4 hours. The car averaged 170 kilometers per hour. How many kilometers traveled?

65 A construction team builds a road. It builds 1.25 kilometers of road every day in the first 4 days and 6.7 kilometers in the next 5 days. How many kilometers of road are built every day on average?

66 A certain brewery produced 24,000 tons of cooking wine in the first half of the year, and an average of 6,000 tons of cooking wine per month in the second half of the year. How many thousand tons of cooking wine are produced on average per month this year?

67. There are two garden teams. The first team has 14 workers and can plant 1,104 trees per day. The second team has 16 workers and each person can plant an average of 81 trees per day. How many trees do each team plant on average per day?

There was a math test in Class 1 of Grade 68. The first group of 9 people had an average score of 90, the second group of 10 people had an average score of 89.5, and the third group of 10 people had an average score of 92.2 The fourth group of 9 people has an average score of 86. What is the overall average score of the students in this class?

On June 9, a construction site used trucks to transport cement. The first time they transported 12 trucks, each truck transported 4.5 tons, and the second time they transported 45 tons. The cement will be used up in exactly 30 days. How many tons of cement are used on this construction site every day on average?

70. A train traveled from City A to City B at a speed of 80 kilometers per hour for 6 hours, at a speed of 90 kilometers per hour for 7 hours, and at a speed of 110 kilometers per hour. After traveling at a speed of 3 hours, find the average speed of this train.

71. A car went from place A to place B to deliver goods. It traveled 46 kilometers per hour and took 6 hours. It takes 5.5 hours to return. What is the average speed of this car in kilometers between the two places?

72. A washing machine factory wants to produce 1,400 washing machines, with an average of 80 washing machines per day in the first five days, and the rest of the requirements must be completed within 10 days.

How many units will be produced per day on average in the next 10 days?

73. Zhang Min reads an extracurricular book. He reads 25 pages every day for the first 6 days, and then reads 15 more pages every day. He finishes reading it in 4 days. How many pages does this book have? 11. Wang Hua scored 88 points in the Chinese test and 95 points in the math test. How many points can he get in the English test so that the average score in the three subjects is 92 points?

74. The average of the four numbers A, B, C, and D is 84. It is known that the average of A and B is 72, the average of B and C is 76, and the average of B and D The number is 80, so what is D?

Special review of application questions (cuboid, cube) 75. A cuboid sandpit is 4 meters long, 2 meters wide and 0.5 meters deep. If each cubic meter of yellow sand weighs .4 tons, the weight of the yellow sand How many tons?

76. A rectangular iron water tank is 18 decimeters long and 10 decimeters wide. It is known that this water tank can hold up to 1620 liters of water. How deep is this water tank? 77. A rectangular plastic box containing potions is 0.6 meters long, 0.25 meters wide, and 0.5 meters deep. If this entire box of potions is put into small bottles that can each hold 400 ml, how many bottles of potions can be contained in this box at least? ?

78. A cube steel billet with an edge length of 6 decimeters is forged into a square steel cuboid with a cross-section of 3 centimeters on a side. How many meters long is the steel? 79. A rectangular oil drum has a bottom area of ??18 square decimeters. It can hold 43.2 kilograms of oil. If each liter of oil weighs 0.8 kilograms, what is the height of the oil drum in decimeters?

80. In a glass jar 25 cm long and 20 cm wide, there is a cube iron block with an edge length of 10 cm. At this time, the water depth is 15 cm. If the iron block is removed from the jar Take it out, how deep is the water in the tank? 7. A rectangular fuel tank has a square bottom and a side length of 6 decimeters measured from the inside. There are 144 liters of oil inside. It is known that the depth of the oil inside is half the depth of the fuel tank. How many decimeters is the depth of the fuel tank? 8. There are 1,200 wooden floors 40 cm long, 20 cm wide and 2 cm thick in a room. How many square meters does this room occupy? How many cubic meters of wood do you need to pave this room?

81. A rectangular steel section is 1.6 meters long and has a square cross-section with a side length of 4 centimeters. Each cubic centimeter just weighs 7.8 grams. How much does this square steel weigh? 82. Use iron sheets to make a cuboid oil drum without a cover. The length and width are 4 decimeters and the height is 6 decimeters. How many square decimeters of iron sheet are used? Put gasoline in a barrel. Each liter of oil weighs 0.82 kilograms. How many kilograms of gasoline can this oil barrel hold?

83. A cube steel billet with an edge length of 0.6 meters is forged into a rectangular steel material with a cross-section of 0.09 square meters. How long is the forged steel material? (Answer with equations)

84. A rectangular glass tank is 40 cm long and 25 cm wide when measured from the inside. The water depth in the tank is 12 cm. After a stone is immersed in water, the water level rises to 16 cm. Find the volume of the stone.

85. Two candles with different compositions and equal lengths can burn out one candle in 3 hours and the other in 4 hours.

Now it is required that by four o'clock in the afternoon, the remaining part of one candle is exactly twice the remaining part of the other. Should the two candles be lit at the same time?

86.A and B are 510 kilometers apart. Two cars A and B are traveling towards each other from the two places. If the two cars start at the same time, they will meet each other in five and one-tenth hour; if B If A starts 2 hours first, then A will meet 4 hours after A starts. What is the speed of the two cars?

87. Given 5 A-type machines, after 8 boxes of products produced in one day are filled, 4 are left. , after 7 B-type machines produce 11 boxes of products in a day, there is still 1 product left. Each A-type machine produces 1 more product per day than the B-type machine. How many products are there in each box?

88. The basic electricity price for residents in a certain place is 0.4 yuan per kilowatt hour. If the monthly electricity consumption exceeds 60 kilowatt hours, the excess will be charged at 70% of the basic electricity price. The average electricity bill for a certain household in June was 0.36 yuan per kilowatt hour. In June* **How ??many kilowatt hours of electricity are used? How much is the electricity bill?

89. A and B climb a mountain. A climbs 10 meters every minute and starts 30 minutes first. B climbs 15 meters every minute. Two people climbed to the top of the mountain at the same time. How long did it take for A to climb the mountain? How high is the mountain?

90. A rode a bicycle from A to B, and B rode a bicycle from B to A. People move forward at a constant speed. It is known that two people set out at the same time at 8 a.m., and at 10 a.m., they were still 36 kilometers apart. At 12 noon, they were 36 kilometers apart again. Find the distance between A and B.

91. If the absolute value of a 3 and the square of b-2 are opposites of each other, find the value of the b subsection of a

92. The following are advertisements from three companies:

Company A: Recruiting 1 person, with an annual salary of 30,000 yuan, and after one year, the salary will be increased by 2,000 yuan per year

Company B: Recruiting 1 person, with an annual salary of 10,000 yuan, and after half a year, the salary will be increased by 2,000 yuan per year. 20% increase in half a year.

Company C: Recruiting 1 person, with a monthly salary of 2,000 yuan, and a monthly salary increase of 100 yuan after one year.

If you apply for the job, which company do you plan to choose? (The contract period is 2 years)

93.1. The charging standard for collective tickets to a certain scenic spot is: up to 20 people (including 20 people). 25 yuan per person. If there are more than 20 people, the excess is 10 yuan per person. A certain class of 51 students visited the scenic spot. How much does it cost to purchase tickets?

94.2. A company sells a certain product and has two options for paying its salesmen monthly wages:

Option 1: A basic salary of 600 yuan regardless of the number of sales. An additional sales fee of 2 yuan is paid for each product;

Option 2: No basic salary is paid, and a sales fee of 5 yuan is paid for each product sold;

If Xiao Ming sells products in a month 300 pieces, then which salary plan should he choose to be more cost-effective? Why?

95. A certain unit ordered x pieces of white shirts and y pieces of floral shirts in the store. The price of each white shirt is one and a half times the price of the floral shirts. After buying the shirts, I found that the number of pieces of white shirts and floral shirts was exactly the same as the number of pieces I originally wanted to buy. After checking, I found that the order was filled in incorrectly. Use a fraction to express the amount of money required according to the original idea and the actual number. The ratio of the number to be dealt with.

96. A store sold two pieces of clothing at a price of 60 yuan each at a certain time. One of them made a profit of 25 and the other lost 25. The total profit from selling these two pieces of clothing was Is it still a loss, or is it neither profit nor loss?

97. A store first increased the original selling price of a certain model of color TV by RMB 40, and then wrote "Big deal, 20% off" in the advertisement. After complaints from customers, the law enforcement department regarded it as illegal income. A fine of 2,700 yuan per unit will be imposed. Ask for the selling price of each color TV?

98. Ordinary cabin passengers on a plane can carry up to 20 kilograms of luggage for free, and a baggage ticket will be charged for each kilogram in excess of 1.5 of the flight fare.

A passenger brought 35 kilograms of baggage on board and paid 1,323 yuan for the ticket and baggage fee. What is the passenger's ticket price?

Suppose the air ticket price is Scored 82 points, scored 96 points in the second test, and scored at least the number of points in the third test. In order to make the average score of the three tests not less than 90 points?

100. A set off from A in a certain city on a bicycle. 2 hours later, B walked on the same road for 3 hours. After 3 hours, the two were 16km apart. At this time, B continued to chase, and A rested at the same place for 11/ Returning from the original place after 3 hours, and after another 1 hour, A and B are separated from each other at point C. "How far is point C from city A?