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      Question

      Time is taken by two trains running in opposite

      directions to cross a man standing on the platform in 26 seconds and 16 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 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 = 26x Length of second train = Speed × Time = 16y So, {(26x + 16y)/(x+y)} = 18 ⇒  26x + 16y = 18x + 18y ⇒  8x = 2y Therefore, x:y = 1:4

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