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      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.
      A 60 seconds Correct Answer Incorrect Answer
      B 64 seconds Correct Answer Incorrect Answer
      C 66 seconds Correct Answer Incorrect Answer
      D 68 seconds Correct Answer Incorrect Answer
      E 70 seconds Correct Answer Incorrect Answer

      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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