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      Question

      A train with 16 compartments of equal length takes 32

      seconds to cross a pole and 40 seconds to cross a 160-metre-long platform. If 8 compartments are removed, then how long would it take to cross a pole?
      A 16 seconds Correct Answer Incorrect Answer
      B 18 seconds Correct Answer Incorrect Answer
      C 14 seconds Correct Answer Incorrect Answer
      D 12 seconds Correct Answer Incorrect Answer
      E 20 seconds Correct Answer Incorrect Answer

      Solution

      Let the original length of the train = β€˜d’ metres
      Then, distance covered by the train in 32 seconds = β€˜d’ metres
      Distance covered by the train in 40 seconds = (d + 160) metres
      So, distance covered in (40 – 32) = 8 seconds = (d + 160 – d) = 160 metres
      So, speed of the train = 160 Γ· 8 = 20 m/s
      So, original length of the train = 20 Γ— 32 = 640 metres
      After removing 8 compartments, length of the train = 640 Γ— (8/16) = 320 metres
      So, required time taken = 320 Γ· 20 = 16 seconds

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