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The Application of One-variable Linear Equation in Junior One Mathematics
Classification and collection of application problems of linear equations with one variable;

(1) Travel issues:

1. From place A to place B, it takes someone 3.6 hours longer to walk than to take a bus. It is known that the walking speed is 8 kilometers per hour and the bus speed is 40 kilometers per hour. If the distance between A and B is X kilometers, the equation is _ _ _ _ _ _ _ _ _.

2. Party A and Party B set out at the same time at a distance of 18km, face to face, and meet at 1 hour 48. If Party A starts 40 minutes earlier than Party B, then they will meet at a distance of 30 minutes from Party B 1 hour, and seek the speed of both parties. ..

Someone goes to school by bike from home. If you drive at a speed of 15 km/h, you can arrive 15 minutes earlier than the scheduled time; If you drive 9 kilometers per hour, you can arrive 15 minutes later than the scheduled time; How many kilometers is the distance from home to school?

On the 4.800-meter runway, two people are practicing middle and long distance running. A runs 320 meters per minute, and B runs 280 meters per minute. They both started from the same place and direction at the same time, and met for the first time after t minutes, and t is equal to minutes.

5. The passenger train is 200 meters long and the freight train is 280 meters long. They are driving in opposite directions on parallel tracks. It takes 16 seconds from the time when two cars meet to the time when two cars leave each other. As we all know, the speed ratio of passenger cars to trucks is 3: 2. How many meters do two cars travel per second?

Clock problem:

/kloc-When does the minute hand and the hour hand coincide between 0/0.6 and 7 o'clock? (textbook review questions)

Navigation problems:

12. A ship is sailing between two docks. The current speed is 3 kilometers per hour. It takes 2 hours to sail downstream and 3 hours to sail upstream. What's the distance between the two docks?

13. An airplane flies between two cities with the wind speed of 24 kilometers per hour. It takes 2 hours and 50 minutes to fly with the wind and 3 hours to fly against the wind. Find out the distance between the two cities.

(2) Engineering problems:

1. For a project, it takes 10 days for Party A to do it alone, and 15 days for Party B to do it alone. Four days of cooperation, how many days does the remaining Party B need?

2. A project is completed by two teams, Team A and Team B. 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 5/6 of the project?

As we all know, the pool has a water inlet pipe and a water outlet pipe. The water inlet pipe can fill the empty pool 15 hours, and the water outlet pipe can fill the pool for 24 hours.

(1) How much water can be injected per hour if the water inlet pipe is opened separately?

(2) If the outlet pipe is opened separately, how much water can be released per hour?

(3) If two pipes are opened at the same time, what is the effect per hour? How to form?

(4) For an empty pool, if the water inlet pipe is opened for 2 hours first, and then the two pipes are opened at the same time, how long will it take to fill the pool?

(3) the difference with the times (production, work and other issues):

1. It takes 40 hours for one person to sort out a batch of books. Now it is planned that some people will work for four hours first, and then two people will work with them for eight hours to finish the work. Assuming that these people are equally efficient, how many people should be arranged to work first.

2. The price of water and electricity in a residential area in Yuechi County is: per ton of water 1.55 yuan, 0.67 yuan per kilowatt hour, and per cubic meter of natural gas 1.47 yuan. A resident paid 67.54 yuan +0 1.54 yuan in June 2006, including 5 tons of water and 30,000 yuan.

3. It is known that the taxi charging standard in our city is as follows: 2 yuan is charged if the mileage does not exceed 2 kilometers; If the mileage exceeds 2 kilometers, the excess part will be charged at 1.4 yuan per kilometer except 2 yuan.

(1) If someone drives a taxi for x kilometers (x >: 2), how much should he pay? (column algebra, no simplification) (8 points)

(2) A tourist takes a taxi from the passenger center to Sanxingdui and pays the fare 10.4 yuan. Try to estimate how many kilometers it is from the passenger center to Sanxingdui.

Competition integral problem:

10. An enterprise conducted an English test for candidates, and the test questions consisted of 50 multiple-choice questions. According to the grading standard, if the answer to each question is correct, 3 points will be scored; if it is not selected, 0 points will be scored; if it is wrong, 1 point will be deducted. It is known that someone didn't do five questions and scored 103, then this person chose the wrong question.

1 1. Eight classes in Grade 7 of a school held a football friendly match, which adopted a scoring system: 3 points for winning a game, 1 point for drawing a game, and 0 point for losing a game. After a class played 1 with seven other teams, it scored 17 points with an unbeaten record. How many games did this class win?

Age problem:

12.A is older than B. 15 years old. Five years ago, A was twice as big as B. Now B is _ _ _ _ _.

13. Xiaohua's father is 25 years older than Xiaohua now. Eight years later, Xiaohua's father is three times older than Xiaohua and five years older. Ask Xiaohua's age now.

Proportion problem:

14. The length of a part on the drawing is 32 cm, and the actual length is 4 cm. Then measure the length of another part of the diagram as 12cm, and find the actual length of this part.

15. In the first phase, the exchange rate between Japanese yen and RMB was 25.2: 1, so how much RMB can I exchange for 500,000 yen?

16. Teacher Wei went to the market to buy vegetables, and found that if 10 Jin of vegetables were put on the scale, the pointer on the dial turned to 180. As the picture shows, the next day, Teacher Wei gave the students two questions:

(1) If you put 0.5 kg of vegetables on the scale, how many angles will the pointer turn?

(2) If the pointer turns to 540, how many kilograms are these dishes?