Two passenger train, a and b, 450 km apart, star to move toward each other at the same time and meet after 2hours.
if train b, travels 8/7 as fast as train a. find the speed of each train

Let be the speed of train A, and let's set the origin in the initial position of train A. The equations of motion are

where are the positions of trains A and B respectively, and t is the time in hours.

The two trains meet if and only if , and we know that this happens after two hours, i.e. at

Solving this equation for v we have

So, train A is travelling at 105 km/h. This implies that train B travels at

step-by-step explanation: