Two trains, starting at the same time from two stations 100 km apart are travelling towards each other and they cross each other at a distance of 70 km from one of the stations. What is the ratio of their speeds?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 7:3.
say both the trains cross each other at a point 70 km from the first (say A) station.
say the speed of both the trains is x km/h and y km/h respectively.
distance covered by B train = 30km
distance ocvered by A train = 70 km
time taken by A train(T) = 70/x
time taken by B train(t) = 30/y
since, both the trains start at the same time, therefore time taken by them to cross each other is same.
⇒ T = t
⇒
⇒
⇒ 7 : 3 = x : y