The ratio of the length of two trains X and Y is 4 7 and the ratio of the time taken by both trains ...........

Quant (SSC) Problems on trains

The ratio of the length of two trains X and Y is 4 : 7 and the ratio of the time taken by both trains to cross a man standing on a platform is 2 : 3. If the speed of the train X is 36 km/h find the speed of the train Y in m/s.

35 /3 m/s

30 m/s

20 /3 m/s

15 m/s

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Explanation:

Let the length of train X = 4a , time = 2b
Speed = 4a /2b
Let the length of train Y = 7a , time = 3b
Speed = 7a /3b
Ratio of the speed = 4a /2b /(7a/3b) = 6:7
Speed of train Y = 36 /6 x 7 = 42 km/h
in m/s = 42 x 5/18 = 35/3 m/s