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Application problems of welcoming Olympic mathematics in the sixth grade of primary school (two articles)
# Introduction # Cultivating mathematical thinking is one aspect of cultivating logical thinking. Logical thinking emphasizes starting with accurate concept understanding, following correct judgment and reasoning methods, and solving problems in work and life more rationally and effectively from a comprehensive and systematic point of view. Logical thinking is the basic intelligence of children's writing and mathematics in the future. The following is the "Application Questions for the Sixth Grade of Primary School to Meet the Olympic Games (II)" compiled by KaoNet, hoping to help you.

Article 1 1. The distance between Station A and bilibili is 980 kilometers. Two trains leave from two opposite stations. The express train runs 60 kilometers per hour. 10 hours later, two cars met. How many kilometers does the local train run per hour? The distance between the two towns is 240 kilometers. A bus goes from Dongzhen to Xizhen at 8: 00 a.m., and a truck goes from Xizhen to Dongzhen at 9: 00 a.m. At noon 12, the two cars meet at the midpoint between the two towns. If two cars leave from two places at the same speed at 8: 00 am, how many kilometers are the two cars apart by morning 10?

3. Party A and Party B walk back to each other from two places 2 1 km apart. After 4 hours, the distance between them is 85 kilometers. Party A walks 7 kilometers per hour, and Party B walks how many kilometers per hour?

4. Two ships, Party A and Party B, set out from two docks 984 kilometers apart at the same time. 18 hours later, the two ships are still 390 kilometers apart. A ship speed 15 km. What's the speed of the B ship?

5. Two trains leave relatively at the same time. 18 hours later, two trains met. It is known that the speed of train A is 78km/h, which is faster than that of train B18km. How many kilometers is the railway between the two places?

6. The distance between Port A and Port B is 654 kilometers, and two passenger and cargo ships depart from Port A and Port B relatively simultaneously. Passenger ships sail every hour18km, and cargo ships sail every hour15km. A few hours later, the distance between the two cars is still 390 kilometers.

7. An express train runs 80 kilometers per hour from town A to town B, and a slow train runs 64 kilometers per hour from town B to town A at the same time. They meet at a distance of 16 km from the midpoint between town a and town b. What is the distance between town A and town B?

8. Xiao Fang and Xiaohong come from two places 600 meters apart at the same time. Xiao Fang walks 45 meters per minute. Seven minutes later, they passed by 100 meters apart. How many meters does Xiaohong walk every minute?

9. The distance between cities A and B is 600 kilometers. The truck travels from city A to city B at a speed of 40 kilometers per hour. Five hours later, the bus left City B and lived in City A. Four hours later, the two cars met. How many kilometers does this bus travel per hour?

10. Party A and Party B run on the 400-meter circular track and run in the same place in opposite directions. The interval between the first meeting and the second meeting is 40 seconds. Party A runs 6 meters per second, and how many meters does Party B run per second?

extreme

1. Two cars, Party A and Party B, left relatively from two places 600 kilometers apart. Car A travels 45 kilometers per hour, and car B travels 40 kilometers per hour. The A train leaves two hours before the B train leaves. How many hours will the B car meet the A car? 2. A train leaves from Station A at 4:30 p.m. at a speed of120km/h.. 1 hour later, another train leaves from bilibili at the same speed, and the two trains meet at 9:30 pm. How many kilometers is the railway between Station A and bilibili?

The express train and the local train leave from A and B at the same time. It is known that the express train is 60 kilometers per hour and the local train is 52 kilometers per hour. A few hours later, the express train met the local train at the midpoint of 32 kilometers. What is the distance between a and b?

4. Two cars, A and B, drive in opposite directions from A and B at the same time. Car A travels 40 kilometers per hour and car B travels 35 kilometers per hour. The two cars meet at a distance of15km. How many kilometers is it between A and B?

5. The distance between Party A and Party B is 640 kilometers, and two cars are driving from Party A to Party B at the same time. The first car travels 46 kilometers per hour, and the second car travels 34 kilometers per hour. The first car arrived at Party B and returned immediately. How many hours did it take for the two cars to drive out and meet?

6. My brother and sister go to a school 540 meters away from A at the same time. My brother walks 60 meters per minute, and my sister walks 48 meters per minute. When my brother arrived at school, he found that he forgot to bring his pencil. He immediately went home to get it and met his sister on the way. How many minutes does it take from the beginning of school to the meeting again?

7. The students of Team A and Team B set out from two places 2700 meters apart at the same time and walked towards each other. A classmate rides a bicycle and shuttles back and forth between the two teams at a speed of 150 per minute. Team A walks 25 meters per minute, while Team B walks 20 meters per minute. How many meters did the cyclist walk when the two teams met?

8.AB and his wife walked to each other at the same time from their home 3000 meters away. A walked 70 meters per minute and B walked 80 meters per minute. A big dog started with him at the same time, walking 100 meters per minute. When the dog meets A, he immediately turns around and runs to A, and then runs to B until AB meets his wife. How many meters did the dog run?

9. At the same time, two cars started from two places 500 kilometers apart, moving in opposite directions, with speeds of 40 kilometers and 60 kilometers per hour respectively. How many hours later, two cars met?

10, A and B are 480 kilometers apart. Two cars A and B leave from two opposite stations at the same time. Car A travels 35 kilometers per hour, and car B travels 45 kilometers per hour. A swallow flies to the B car at a speed of 50 kilometers per hour. When it meets car B, it turns back and flies back to car A. When it meets car A, it flies back to car B. How many kilometers can the two cars meet?