Question
A train has 15 coaches and an engine. Each coach is 24
metres and the engine is 48 metres. Time taken by the train to cross a platform, whose length is 50% of the length of the train, is 51 seconds. Find the time taken by the train to cross a man travelling in the same direction as the train with a speed of 6 m/s.Solution
Length of train = 15 × 24 + 48 = 360 + 48 = 408 metresLength of platform = 0.5 × 408 = 204 metresSpeed of train = (408 + 204) ÷ 51 = 612 ÷ 51 = 12 m/sRelative speed = 12 − 6 = 6 m/sTime to cross man = 408 ÷ 6 = 68 seconds
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