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      Question

      Time is taken by two trains running in opposite

      directions to cross a man standing on the platform in 28 seconds and 18 seconds respectively. It took 24 seconds for the trains to cross each other. What is the ratio of their speeds?
      A 2:3 Correct Answer Incorrect Answer
      B 3:2 Correct Answer Incorrect Answer
      C 1:4 Correct Answer Incorrect Answer
      D 3:1 Correct Answer Incorrect Answer
      E 4:1 Correct Answer Incorrect Answer

      Solution

      Let the speed one train be x m/s and the speed of the second train be y m/s. Length of the first train = Speed × Time = 28x Length of second train = Speed × Time = 18y So, {(28x + 18y)/(x + y)} = 24 ⇒ 28x + 18y = 24x + 24y ⇒ 4x = 6y Therefore, x: y = 3:2

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