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      Question

      The speed of train A is 120 km/h and it takes 15 seconds

      to cross a pole. Find the approximately time taken by train A to cross train B that is running with the speed 72 km/h in the same direction, and the length of train B is 540 meters.
      A 22 seconds Correct Answer Incorrect Answer
      B 78 seconds Correct Answer Incorrect Answer
      C 45 seconds Correct Answer Incorrect Answer
      D 32 seconds Correct Answer Incorrect Answer
      E 57 seconds Correct Answer Incorrect Answer

      Solution

      Speed of Train A = 120 km/h = (120 × 5/18) = 100/3 m/s
      Length of Train A = 100/3 × 15 = 500 meters
      Relative speed = 120 - 72 = 48 km/h = (48 × 5/18) = 40/3 m/s
      Total Distance = 500 + 540 = 1040 meters
      Time = 1040/(40/3) = 78 seconds

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