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      Question

      Trains 'M' and 'N' travel at speeds of 72 km/h and 90

      km/h, respectively. It takes train 'M' 32 seconds to pass a certain platform, while train 'N' requires only 24 seconds to cross the same platform. Determine the length ratio of train 'M' to train 'N'.
      A 7:2 Correct Answer Incorrect Answer
      B 4:5 Correct Answer Incorrect Answer
      C 2:3 Correct Answer Incorrect Answer
      D cannot be determined Correct Answer Incorrect Answer
      E 5:4 Correct Answer Incorrect Answer

      Solution

      Let the length of the platform be ‘x’ metres Let the length of trains ‘M’ and ‘N’ be ‘a’ metres and ‘b’ metres, respectively According to the question, 72 × 5/18 = (x + a)/32 20 × 32 = x + a Or, x + a = 640 Or, x = 640 – a.….. (1) Also, 90 × 5/18 = (x + b)/24 25 × 24 = x + b Or, x + b = 600 Or, x = 600 – b…… (2) From equations (1) and (2), we get 640 – a = 600 – b Or, a – b = 40 Therefore, required ratio cannot be determined. Hence, option d.

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