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      Question

      Train โ€˜Aโ€™ running with a speed of 108 km/hr crosses

      a vertical pole in 8 seconds. Find the approx. time taken by the train โ€˜Aโ€™ to cross a train โ€˜Bโ€™ whose length is 130 metres less than that of train โ€˜Aโ€™ and whose speed is 1/5 more than that of train โ€˜Aโ€™ if both are running in opposite direction.
      A 8 seconds Correct Answer Incorrect Answer
      B 3 seconds Correct Answer Incorrect Answer
      C 5 seconds Correct Answer Incorrect Answer
      D 7 seconds Correct Answer Incorrect Answer

      Solution

      Speed of train โ€˜Aโ€™ = 108 ร— (5/18) = 30 m/sec Length of train โ€˜Aโ€™ = 30 ร— 8 = 240 metres Length of train โ€˜Bโ€™ = 390 โ€“ 240 = 110 metres Speed of train โ€˜Bโ€™ = 30 + (30/5) = 36 m/sec Required time taken = (240 + 110)/(30 + 36) = 5.30 = 5 seconds

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