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      Question

      Train β€˜A’ running with a speed of 72 km/hr can cross

      a standing goods train of 4 times its length in 21 seconds. Find the time taken by 350 metres long train β€˜B’ which is coming from opposite direction of train β€˜A’, with a speed of 10 m/s, to cross train β€˜A’.
      A 8 seconds Correct Answer Incorrect Answer
      B 5 seconds Correct Answer Incorrect Answer
      C 14 seconds Correct Answer Incorrect Answer
      D 10 seconds Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Let the length of train β€˜A’ be β€˜x’ metres Therefore, length of the goods train = β€˜4x’ metres Speed of train β€˜A’ = 72 Γ— (5/18) = 20 m/s According to the question, 4x + x = 20 Γ— 21 => 5x = 420 => x = 84 Therefore, time taken by train β€˜B’ to cross train β€˜A’ = {(84 + 350)/(21 + 10)} = 14 seconds

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