Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is ?

A. 1:3

B. 3:2

C. 3:5

D. 3:7

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Correct Answer : B.

Let the speeds of the two trains be x m/sec and y m/sec respectively.
Then, length of the first train = 27x metres,
Length of the second train = 17y metres.
[because distance = speed*time]

\frac{27 x + 17 y}{x + y} = 23 \Rightarrow 27 x = 17 y = 23 x + 23 y \Rightarrow 4 x = 6 y \Rightarrow \frac{x}{y} = \frac{6}{4}

So ratio of the speeds of train is 3:2

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