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      Question

      Time is taken by two trains running in opposite

      directions to cross a man standing on the platform in 30 seconds and 20 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 5:7 Correct Answer Incorrect Answer
      C 1:3 Correct Answer Incorrect Answer
      D 3:7 Correct Answer Incorrect Answer
      E 2:1 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 = 30x Length of second train = Speed × Time = 20y So, {(30x + 20y)/(x+y)} = 24 ⇒  30x + 20y = 24x + 24y ⇒  6x = 4y Therefore, x:y = 2:3

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