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      Question

      Time is taken by two trains running in opposite

      directions to cross a man standing on the platform in 25 seconds and 15 seconds respectively. It took 18 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

      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 = 25x Length of second train = Speed × Time = 15y So, {(25x + 15y)/(x+y)} = 18 ⇒  25x + 15y = 18x + 18y ⇒  7x = 3y Therefore, x:y = 3:7

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