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      Question

      Train тАШAтАЩ running with a speed of 54 km/hr can cross

      a standing goods train of 4 times its length in 35 seconds. Find the time taken by 280 metres long train тАШBтАЩ which is coming from opposite direction of train тАШAтАЩ, with a speed of 20 m/s, to cross train тАШAтАЩ.
      A 15 seconds Correct Answer Incorrect Answer
      B 5 seconds Correct Answer Incorrect Answer
      C 6 seconds Correct Answer Incorrect Answer
      D 7 seconds Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Let the length of train тАШAтАЩ be тАШxтАЩ metres Therefore, length of the goods train = тАШ4xтАЩ metres Speed of train тАШAтАЩ = 54 ├Ч (5/18) = 15 m/s According to the question, 4x + x = 15 ├Ч 35 => 5x = 525 => x = 105 Therefore, time taken by train тАШBтАЩ to cross train тАШAтАЩ = {(105 + 280)/(15 + 20)} = 11 seconds

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