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:

1 : 3
3 : 2
3 : 4
None of these

Correct Answer: 3 : 2

Explanation:

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.

∴	27x + 17y	= 23
	x+ y

⟹ 27x + 17y = 23x + 23y

⟹ 4x = 6y

⟹	x	=	3	.
	y		2

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