# math 117

posted by
**Diana**
.

A passenger train can travel 325 mi in the same time a freight train takes to travel 200 mi. If the speed of the passenger train is 25 mi/h faster than the speed of the freight train, find the speed of each.

Speed = distance/time

Therefore time = distance/speed. Assume the times are equal.

Let x stand for speed of freight train and x+25 speed of freight train. Therefore, with the same time,

325/(x+25) = 200/x

Solve for x.

I hope this helps. Thanks for asking.