2. The school organizes students to travel. Jassamyn Liu was late for some reason after the bus set off. He stopped a taxi and rushed up. The taxi driver told Jassamyn Liu that if he walked 80 kilometers per hour, it would take 1.5 hours to catch up, and if he walked 90 kilometers per hour, it would take 40 minutes to catch up. He asked the taxi driver what the speed of the coach was.
3. Correspondents should deliver documents within the specified time when riding motorcycles. Riding a motorcycle was 36 kilometers per hour, and the result was 20 minutes earlier. If it's 30 kilometers per hour, it's 12 minutes late. What's the exact time? How far is it?
Xiao Wang originally planned to go from place A to place B in 4 hours. Because he was in a hurry, he accelerated 3 kilometers per hour, but he arrived in 3 hours. Find Xiao Wang's original speed and the distance between A and B.
It takes 3 hours for a student to go downstream from A to B and upstream to C by boat. If the current speed is 2 km /h, the speed of the ship in still water is 8 km /h, and if the voyage between A and C is 2 km, find the voyage between A and B. 。
6. A two-digit number, the number of one digit is twice that of ten digits. If the number of the tenth digit and the number of the second digit are reversed, the obtained two digits are greater than the original two digits. 36. Inverse double digits.
7. For a three-digit number, the number on the tenth digit is 0, and the sum of the other two digits is 12. If one digit is subtracted by 2 and the hundredth digit is added with 1, the three digits obtained are smaller than the three digits obtained by exchanging the hundredth digit and the one digit by 100, and the original three digits are obtained.
8. Developing green food is the future direction. In order to introduce new technologies and varieties, the state issued a three-year agricultural loan to farmer Zhang Decai. The loan agreement stipulates that Lao Zhang will repay the principal in three installments within three years and pay the interest payable each time. It is known that the annual interest rate of this loan is 5.3 1%, and Lao Zhang pays the interest 15930 yuan in three years.
9. A washing machine factory plans to produce 2550 washing machines this year, among which the quantity ratio of A, B and C washing machines is 1:2: 14. How many washing machines are planned to be produced?
10. If a shopping mall sells a color TV at 20% of the list price, it can still make a profit of 20%. If the purchase price of this color TV is 2000 yuan, what is the bid price?
165438+ (notice time ignored)
12. A city charges the monthly water fee according to the following regulations: if the water consumption does not exceed 6 cubic meters, it will be charged per cubic meter 1.2 yuan; If it exceeds 6 cubic meters, the excess will be charged per cubic meter 1.5 yuan. It is known that the average water fee of a user in August is per cubic meter 1.32 yuan. How much water does this user have to pay in August?
13. The New Year is coming. In order to promote a certain commodity, the merchant has made a 15% discount on the basis of the current retail price, and then a 20% discount. At this time, the retail price is 240 yuan, and the store still has a profit of 25%. What is the retail price of this commodity before discount? What is the purchase price of this commodity? If this commodity is sold at the original price, what is the profit margin?
14. The basic price of domestic electricity for urban residents is 0.40 yuan per kWh. If the monthly electricity consumption exceeds kWh, the excess will be charged at 70% of the basic electricity price. A household used 84 degrees of electricity in May, and * * * paid 30.72 yuan. If the household electricity consumption in June is 0.36 yuan per kwh, how many kwh will be needed in June? How much electricity should I pay?
15. At present, the total area of soil erosion in China, including seven major river basins such as the Yangtze River and the Yellow River, has reached 3.67 million square kilometers, of which the total area of soil erosion in the Yangtze River and the Yellow River accounts for 32.4% of the whole country. The problem of soil erosion in the Yangtze River basin is more serious, and its soil erosion area is 290,000 square kilometers more than that in the Yellow River basin. What is the area of soil erosion in the Yangtze River Basin? (Results are rounded)
16. On the National Day, the headmaster of a school led the "three good students" of the whole school to travel abroad. A travel agency said that "if the principal buys a ticket, the other students can enjoy a half-price discount", while B travel agency said that "all students including the principal enjoy a 60% discount on the ticket price" (that is, they are charged at a 60% discount on the ticket price). Now the whole fare is 240 yuan, and the number of students is five. Please calculate which travel agency provides it. Which travel agency do you like? What if it's a principal and two students?
During 17, the students organized sightseeing tours. At present, three travel agencies offer three different quotations, all of which are favorable. These three quotations are:
One, more than 20 people (including 20 people) two people are free, and the others are each 150 yuan;
Two. If there are more than 20 people (including 20 people), all members will receive a 15% discount on 150 yuan;
Three. More than 20 people (including 20 people) will be charged at 150 yuan minus 10 yuan.
(Note: The service items of the three travel agencies are the same: ticket price, tickets and a bottle of mineral water for each person) There are 25 people from Class 2, Grade 1 who will take part in this tour. Please check, which price is the most economical?
18. A bug climbed 30 northwest from point A to point B 3 cm, and then climbed 60 northeast from point B to point C 3 cm.
(1) Try drawing to determine the positions of A, B and C; (2) Measure the distance from point C to point A on the map (accurate to 0.1cm); (3) Point out the position of point C at point A?
19. As shown in the figure, the six squares are numbered 1 ~ 6 respectively. Is (1) the expansion diagram of the cube?
(2) If the squares numbered ⑤ are moved above ② ~ ④ respectively, can a cube be formed?
(3) Can we find a pattern from it?
20. A school organizes students to visit Guangming Science and Technology Museum, which is 6 kilometers away from the school. Student Wang Hong can't take a chartered bus from school because of something, so he plans to take a taxi to the Guangming Science and Technology Museum at the school gate. Taxi fares are as follows:
mileage
Cost (yuan)
Less than 3 kilometers (including 3 kilometers)
8.00
More than 3 km, each additional 1 km.
1.8
(1) Write the algebraic expression (3) of the fare paid when the taxi travels several kilometers.
(2) Wang Hong only has 14 yuan. Is the fare to the Science and Technology Museum by taxi enough? Please explain the reason.
2 1. In order to improve the housing conditions of residents, a development zone builds a number of new houses every year, and the per capita housing area increases year by year (per capita housing area =, unit: m2/person). From 1997 to 1999, the statistical results of the total population and per capita housing area at the end of each year are as follows: According to the information provided, answer the following questions: This area. How much more?
22. Taxi charges vary from place to place in China. A city is: the starting price 10 yuan, the price per kilometer after 3 kilometers 1.2 yuan; B: The starting price is 8 yuan, and the price per kilometer after 3 kilometers is 1.4 yuan.
Fill in the following table according to the above conditions:
Mileage (km)
16
X (x>3)
Charge for a city (yuan)
B city charge (yuan)
Price difference between the two places (yuan)
An enemy plane violated our airspace and our plane took off to meet it. When the distance between the two planes was 50km, the enemy plane twisted its nose and fled at the speed of 15km/min. Our plane chased it at a speed of 22 kilometers per hour. When we reached the distance of 1km, we fired at the enemy plane. Half a minute later, the enemy plane plunged in the thick smoke. The enemy plane ran away until I caught it.
If the enemy plane escapes and is annihilated by us, it only takes x minutes. From Pursuit to Distance 1 The time of a kilometer is _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
24. A two-digit number, the number of one digit is four times that of ten digits. If the number of the tenth digit and the number of the second digit are reversed, the obtained two digits are greater than the original two digits. 54. Find the original two digits.
25. For a three-digit number, the number on the tenth digit is 2, and the sum of the numbers on the other two digits is 6. If the single digits and the hundred digits are reversed, the three digits obtained are 396 larger than the original three digits, so the original three digits are found.
26, a project, a construction group alone can be completed in 40 days, b construction group alone can be completed in 80 days, now by a single 10 days, and then complete the rest of the project with b * * *, ask a construction group how many days * * *?
27. It takes 13 days for Party A, Party B and Party C to complete a project together. If Party C takes two days off, Party B will have to work four more days, or Party A and Party B will work together 1 day. How many days will it take Party A to do this project alone?
In order to celebrate the opening of the school sports meeting, the students in Class Two, Grade One accepted the task of making a small national flag. Originally, half of the students planned to participate in the production and make 40 faces every day. After completing one third, the whole class will participate together. As a result, the task was completed one and a half days ahead of schedule. Assuming that everyone's production efficiency is the same, how many faces has * * made?
29. A company completed a project in three stages. The first phase took 40% of the total project time, the second phase took 36% of the total project time, and the third phase took 24 days. How many days did it take to complete the whole project?
30. There are two plugs in the water tank. Pull off the first plug, and the water in the water tank will flow out after 5 minutes. Pull the second plug and it will flow out in 7 minutes. If the two plugs are pulled out for 2 minutes, a * * * will drain 1200 liters, and then plug in the first plug. How many minutes does it take to finish the water in the tank?
3 1. There are two buckets. The capacity of barrel A is 400 liters, and that of barrel B is 150 liters. If barrel A discharges twice as much water as barrel B, then the remaining water in barrel A is four times as much as that in barrel B. How many liters of water does each barrel discharge?
32. After Party A finishes half of a task, Party B needs two hours to finish the rest. If Party A completes the task and Party B completes the rest, it will take two people * * * 1 hour and 50 minutes. How many hours does it take for Party A and Party B to complete it separately?
33. A project was originally planned to be completed by 270 workers in a few days. There are only 200 workers now. Because the work efficiency was improved by 50%, it was completed 10 days earlier than originally planned. How many days did you plan to work?
34. The lathe shift was originally planned to produce 50 parts a day. After improving the operation method, in fact, six more parts are produced every day than originally planned. The result was 5 days ahead of schedule, exceeding 8 parts. How many parts did the lathe shift originally plan to produce?
35. The number of parts produced by workers A, B and C in a factory every day is 3: 4, while the number of parts produced by workers B and C is 2: 3. If the number of parts produced by worker B per day is 945 less than the sum of worker A and worker C, how many pieces will each worker produce?
36. A project is jointly completed by Team A and Team B, and it takes 16 days for Team A to complete it alone and 12 days for Team B to complete it alone. If Team A works for four days first, and then two teams work together, how many days will it take to complete the project?
37. A worker processes a batch of parts within the planned time. If he does 35 pieces per hour, he can't complete the task without 10 pieces. If you make 40 pieces per hour, you can exceed 20 pieces. How many parts does he process and how many hours is the planned time?
According to the plan, two shift workers should produce 680 parts this month. In fact, the first group completed 20% of this month's tasks and the second group completed 65,438+05%, so they produced 65,438+065,438+08 more parts than originally planned. How many parts have each group produced this month?