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

Solution

If the trains take 27 s and 17 s to cross a man, their lengths are proportional to their speeds times these times. Using the time to cross each other, the ratio of speeds comes out to 3:2.

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