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      Question

      Train A's speed is 25% less than that of Train B, and

      its length is half the length of Train B. Train A crosses a 400 m bridge in 36 seconds, while Train B crosses a 200 m tunnel in 27 seconds. Determine the length of Train B.
      A 300 m Correct Answer Incorrect Answer
      B 350 m Correct Answer Incorrect Answer
      C 400 m Correct Answer Incorrect Answer
      D 450 m Correct Answer Incorrect Answer
      E 500 m Correct Answer Incorrect Answer

      Solution

      Let Speed of train B = 4x Speed of train A = 4x * 75/100 = 3x Let Length of train A = y Length of train B = 2y y + 400 = 3x * 5/18 * 36 y + 400 = 30x --------(1) 2y + 200 = 4x * 5/18 * 27 2y + 200 = 30x -------(2) From both the above equations- 2y + 200 = y + 400 y = 200 m Length of train B = 200 * 2 = 400 m

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