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GATE 2014 EC (EC1) – Question 8

General Aptitude · Quantitative Aptitude: Algebra, Geometry and Mensuration · 2 marks · Numerical answer

A 280-metre train at uniform speed crosses a platform in 60 seconds and passes a man standing on it in 20 seconds. Find platform length (metres).

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Correct answer: 560 to 560

Explanation

Passing a stationary person requires the train to travel its own length280m in20s, giving speed14m/s. Passing the platform takes60s, so the train covers840m, equal to train length plus platform length. Therefore the platform is840−280=**560m**.