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      Question

      A train travelling at the speed of 72 km/hr crosses

      another train, having 60 meters less length and travelling in opposite direction at the speed of 54 km/hr in 6 seconds. If the longer train crosses a platform in 18 seconds, then the shorter train will cross the same platform in how many seconds?
      A 19 seconds Correct Answer Incorrect Answer
      B 20 seconds Correct Answer Incorrect Answer
      C 21 seconds Correct Answer Incorrect Answer
      D 22 seconds Correct Answer Incorrect Answer
      E 23 seconds Correct Answer Incorrect Answer

      Solution

      Speed of longer train = 72 × (5/18) = 20 m/s
      Speed of shorter train = 54 × (5/18) = 15 m/s

      Let length of longer and shorter trains be ‘L’ meters and (L – 60) metres, respectively.

      According to question,

      L + L – 60 = (20 + 15) × 6 = 210

      2L – 60 = 210

      L = 135 metres

      So, L – 60 = 75 metres

      Let length of platform is ‘P’ metres

      So, P + 135 = 20 × 18 = 360

      P = 360 – 135 = 225 meters

      Desired time = (225 + 75)/15 = 300/15 = 20 seconds

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