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Math Olympics of Grade One in Junior High School
East-west distance 180km. A rides a bike every hour 12km, and B rides a bike every hour 18km. How many hours do they meet at the same time?

2. Two cars start from a city at the same time, facing each other. The express train is 43 kilometers per hour and the local train is 37 kilometers per hour. How many kilometers are they apart after 26 hours?

3.a lags behind B 28km, and they both walk in the same direction at the same time. A travels 16 km per hour, and B travels 9 km per hour. How many hours does it take for A to catch up with B?

Two trains leave relatively from Beijing and Shenyang at the same time. The speed of the train from Beijing is 59 kilometers per hour, and that from Shenyang is 64 kilometers per hour. Six hours later, two trains met. How long is the railway from Beijing to Shenyang?

Xiaohua has walked 225 meters from home. Her sister Xiao Fang chased Xiaohua by bike. It is known that Xiaohua walks 75km per minute, and her sister Xiao Fang walks120m per minute by bike. How many minutes does it take for Xiaofang to catch up with Xiaohua?

6. Party A and Party B walk in opposite directions from two places 27 kilometers apart at the same time and meet for 3 hours. It is known that Party A walks 5 kilometers per hour, and how many kilometers does Party B walk per hour?

7. Party A and Party B walked back to each other at the same time from two places 3.5 kilometers apart. Party A travels 5 kilometers east and 4.8 kilometers west. How many kilometers are they apart after 3.5 hours?

8. Two cars, A and B, leave from two places with a distance of1200km at the same time. Car A travels 55 kilometers per hour, while car B travels 45 kilometers per hour. A few hours later, the distance between the two cars is 200 kilometers.

9. Two planes flew in opposite directions from two cities at the same time and met two hours later. The speed of the first plane is 700 kilometers per hour, and the second plane is 20 kilometers slower than the first one. How long is the route between the two cities?

10.A and B both start from east and west at the same time. Car A travels 56 kilometers per hour and car B travels 48 kilometers per hour. The two cars met at a distance of 32 kilometers from the midpoint. How many kilometers is the distance between east and west?

1 1. The express train and the local train leave from A and B at the same time. The express train runs 40 kilometers per hour. Three hours later, the express train has passed the midpoint of 25 kilometers. At this time, the distance between the express train and the local train is 7 kilometers. How many kilometers does the local train run per hour?

12. Students from Team A and Team B set out from two places with a distance of 18km and walked towards each other. A student rides a bicycle and shuttles back and forth between the two teams at the speed of 14km per hour. Team A walks 5 kilometers per hour and Team B walks 4 kilometers per hour. How many kilometers did the cyclist walk when the two teams met?

13. At 8: 00 a.m., two cars A and B leave from two opposite directions A and B at the same time, with a distance of 1 12.5 km. When the two cars continue to drive until 1 in the afternoon, the distance between the two cars is still 1 12.5 km.

14. A car and a motorcycle leave from A and B at the same time. Cars travel 40 kilometers per hour and motorcycles travel 65 kilometers per hour. When the motorcycle travels to the midpoint between the two places, it is still 75 kilometers away from the car. How many kilometers is it between A and B?

15. Cars travel 60 kilometers per hour, 5 kilometers more than buses. Two cars driving from A and B at the same time meet at a distance of 20 kilometers from the midpoint. Find the distance between A and B?

16. The bus goes from A to B at a speed of 32 kilometers per hour. Four hours later, the remaining 8 kilometers is less than half of the whole journey. If the speed is changed to 56 kilometers per hour, how many hours will it take to get to B?

17. The school sent a batch of saplings, and 5. 1 class 40 students went to participate in tree planting activities. If each student can plant three trees, the whole class can plant more than 20 trees. If these saplings are to be planted in class 5. 1, how many trees will each person plant on average?

18. Party A and Party B set out from two places at the same time, face to face. Distance 100 km. Party A travels 6 kilometers per hour and Party B travels 4 kilometers per hour. Party A takes dogs, and the speed of dogs is10km. When it meets Party B, it turns around and goes to Party A..

19. Two teams of students set out from A and B, which are 30 kilometers apart. A pigeon keeps sending letters back and forth between two groups of students at the speed of 20 kilometers per hour. If the pigeon flew 30 kilometers from the students to the meeting, and the students of team A walked 0.4 kilometers more than the students of team B, how to find the walking speed of the students of the two teams?

20. Two cars, A and B, leave from A and B at the same time. After three hours, the difference between the two cars is still120km, and after three hours, the difference between the two cars is120km. How many kilometers is it between A and B?

2 1. The express train leaves from Party A and Party B at 6: 00 in the morning. At noon 12, the two trains are still 50 kilometers apart. When they continue to drive to 14, the distance between the two trains is170km. How many kilometers is it between Party A and Party B?