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      Question

      A train can cross a pole in 10 seconds while it can

      cross a 360 metres long platform in 30 seconds. Find the time (in hours) taken by the train to cover a distance of 648 km if the train increased its speed by 50%.
      A 5 hours Correct Answer Incorrect Answer
      B 5.5 hours Correct Answer Incorrect Answer
      C 6.66 hours Correct Answer Incorrect Answer
      D 8.4 hours Correct Answer Incorrect Answer

      Solution

      Let speed of train is ‘x’ m/s while length of the train is ‘l’ metres.
      So, l = 10x
      And, l + 360 = 30x
      ⇒ 10x + 360 = 30x
      ⇒ 20x = 360
      ⇒ x = 18
      Speed of train = 18 × 18/5 = 64.8 km/h
      Increased speed = 1.5 × 64.8 = 97.2 km/h
      Desired time = 648 / 97.2 = 6.66 hours

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