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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 : 4

D. None of these

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Correct Answer :

B. 3 : 2

Let the speeds of the two trains be x m/sec and y m/sec respectively.
Then, length of the first train = 27x metres,
and length of the second train = 17y metres.

∴ \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{3}{2} .

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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

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