Question

The distance between two stations is 340 km. Two trains start simultaneously from these stations on parallel tracks to cross each other. The speed of one of them is greater then that of the other by 5 km/hr. If the distance between the two trains after 2 hours of their start is 30 km, find the speed of each train.

Answer 1

Let the speed of one train =x  km/hr

Speed of other train = (x + 5)km/hr

Distance = speed \(\times\) time

Distance covered by one train in 2 hrs = x \(\times\)2 = 2x km

Distance covered by other train in 2 hrs =2(x + 5) = (2x + 10) km

Remaining distance between the train = 30 km

Therefore speed of one train = 75 km/hr

Speed of other train = x + 5 = 75 + 5 = 80 km/hr