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General Aptitude
Quantitative Aptitude
GATE 2014
Medium

A train that is 280 metres long, travelling at a uniform speed, crosses a platform in 60 seconds and passes a man standing on the platform in 20 seconds. What is the length of the platform in metres?

560 metres

Explanation

Passing a stationary man takes only the train's own length: speed = 280 m / 20 s = 14 m/s. Crossing the platform means covering (train length + platform length): (280 + L) / 14 = 60, so 280 + L = 840, giving L = 560 metres.

Source: GATE ME 2014 (Session 1 / Set-1) (2014)

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