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      Question

      A train can cross a pole, a bridge of 495 meter long and

      platform of 440 meter long in 16 seconds, _____ seconds and 32 seconds, respectively. The value given in which of the following option will fill the blank to make the above statement true:
      A 34 seconds Correct Answer Incorrect Answer
      B 37 seconds Correct Answer Incorrect Answer
      C 32 seconds Correct Answer Incorrect Answer
      D 30 seconds Correct Answer Incorrect Answer
      E 27 seconds Correct Answer Incorrect Answer

      Solution

      Let the length of the train = x meter So according to question: x/16 = (x + 440)/32 32x = 16x + 7040 16x = 7040 x = 440 So the length of the train = 440 m Speed of the train = 440/16 = 27.5 m/s Time taken by the train to cross a bridge 495 meter long = (440 + 495)/32 = 935/27.5 = 34 seconds

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