The two trains leave from station a and station B at the same time and run in opposite directions. The speed of the slow train is 5 / 7 of the speed of the fast train. They meet at 36km away from the terminal. When they meet, the fast train will stop How many kilometers did you drive?

The two trains leave from station a and station B at the same time and run in opposite directions. The speed of the slow train is 5 / 7 of the speed of the fast train. They meet at 36km away from the terminal. When they meet, the fast train will stop How many kilometers did you drive?

Hello: it should be "meet at 36km from the midpoint"
When we met, the express made the whole journey:
7÷（7+5）=7/12
Full length:
36÷（7/12-1/2）
=36÷1/12
=432 (km)
When we met, the express drove
432 × 7 / 12 = 252 (km)

Car a and B leave each other at the same time from station a and B. the speed of car B is 10 / 9 of that of car a. the two cars meet at a distance of 5km from the destination. After meeting, the two cars are separated

A and B leave from station a and B respectively, and the speed of B is 9 / 10 of that of A. the two cars meet at a distance of 5km from the midpoint. After meeting, the two cars continue to move forward at the original speed. When a arrives at station B, how far is B from station a
It is known that the two cars met at a distance of 5km from the midpoint,
It can be concluded that car a traveled 5 × 2 = 10 km more than car B when they met;
It is known that the speed of car B is nine tenths of that of car a,
It can be concluded that: when meeting, car a runs 10 / (10 + 9) = 10 / 19 of the whole journey, and car B runs 9 / (10 + 9) = 9 / 19 of the whole journey;
Therefore, the distance between stations a and B is 10 (10 / 19-9 / 19) = 190km;
When car a arrives at station B, car B runs 9 / 10 of the whole journey and is 190 × (1-9 / 10) = 19 km away from station a

The distance between the two places is 600km. The relative speed of the two cars is 55km. The speed of the two cars is 45km. How many hours later will they meet?

600÷﹙55＋45﹚
＝600÷100
= 6 hours
We'll meet in six hours