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      Question

      A train can cross a pole in 20 seconds while it can

      cross a 480 metres long platform in 56 seconds. Find the time (in hours) taken by the train to cover a distance of 864 km if the train increased its speed by 20%.
      A 12.0 hours Correct Answer Incorrect Answer
      B 13.5 hours Correct Answer Incorrect Answer
      C 15.0 hours Correct Answer Incorrect Answer
      D 16.5 hours Correct Answer Incorrect Answer

      Solution

      Let speed of train is 'x' m/s while length of the train is 'l' metres.
      So, l = 20x And, l + 480 = 56x
      Or, 20x + 480 = 56x
      Or, 36x = 480
      Or, x = 40/3
      So, Speed of train = (40/3) × 18/5 = 48 km/h
      Desired time = 864/(1.20 × 48) = 15.0 hours

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