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      Question

      A boy is cycling at 10 m/sec in the same direction of a

      train. The train crosses him in 5 seconds. If speed of the train is 90 km/hr, find the time taken to cross a platform of 100 metres.
      A 5 seconds Correct Answer Incorrect Answer
      B 6 seconds Correct Answer Incorrect Answer
      C 7 seconds Correct Answer Incorrect Answer
      D 8 seconds Correct Answer Incorrect Answer

      Solution

      Train speed = 90 Γ— (5/18) = 25 m/sec
      Relative speed = 25 - 10 = 15 m/sec
      L / 15 = 5 β‡’ L = 75 metres
      Time to cross platform = (75 + 100)/25 = 175/25 = 7 seconds

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