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      Question

      Train X and Train Y running in opposite directions

      crosses each other in 25 seconds. Find the length of Train X. Statement I: Speed of Train X to Train Y are in ratio 3:2. Statement II: Train X and Train Y crosses a man in 20 seconds and 15 seconds respectively. For each of the following questions statements I and II are given. Use the data of those statements and then determine which of the following statements is necessary to answer the question:
      A Statement I is alone sufficient to answer the question. Correct Answer Incorrect Answer
      B Statement II is alone sufficient to answer the question. Correct Answer Incorrect Answer
      C Either Statement I or statement II is sufficient to answer the question. Correct Answer Incorrect Answer
      D Neither Statement I nor statement II is sufficient to answer the question. Correct Answer Incorrect Answer
      E Both Statements I and II are necessary to answer the question. Correct Answer Incorrect Answer

      Solution

      Let the length of Train X and Train Y be L1 and L2 respectively and let the speed of Train X to Train Y be 3x and 2x respectively. Length of Train X, => L1/3x = 20 => L1 = 60x Length of Train Y, => L2/2x = 15 => L1 = 30x Train X crosses Train Y in 25 seconds, => (60x + 30x)/(3x + 2x) = 25 => 90x/5x = 25 => 90x = 125x Neither Statement I nor statement II is sufficient to answer the question.

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