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      Question

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

      another train, having 40 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 14 seconds, then the shorter train will cross the same platform in how many seconds?
      A 14 seconds Correct Answer Incorrect Answer
      B 15 seconds Correct Answer Incorrect Answer
      C 16 seconds Correct Answer Incorrect Answer
      D 17 seconds Correct Answer Incorrect Answer

      Solution

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

      Let length of longer and shorter trains be β€˜L’ meters and (L – 40) metres, respectively.

      According to question,

      L + L – 40 = (20 + 15) Γ— 6 = 210

      2L – 40 = 210

      L = 125 metres

      So, L – 40 = 85 metres

      Let length of platform is β€˜P’ metres

      So, P + 125 = 20 Γ— 14 = 280

      P = 280 – 125 = 155 meters

      Desired time = (155 + 85)/15 = 240/15 = 16 seconds

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