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    Question

    A train that is 200 meters long

    passes a platform that is 350 meters long in a specific amount of time. The same train, traveling at the same speed, also crosses a bridge that is 1150 meters long. Determine how long it takes for the train to cross the bridge. Statement I: The train takes 13(3/4) seconds to cross the platform. Statement II: The time ratio for the train crossing the platform and the bridge is 11:27, respectively. The question consists of two statements numbered "l and II" given below it. You have to decide whether the data provided in the statements are sufficient to answer the question.
    A The data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question. Correct Answer Incorrect Answer
    B The data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question. Correct Answer Incorrect Answer
    C The data either in statement I alone or in statement II alone are sufficient to answer the question. Correct Answer Incorrect Answer
    D The data given in both statements I and II together are not sufficient to answer the question. Correct Answer Incorrect Answer
    E The data in both statements I and II together are necessary to answer the question. Correct Answer Incorrect Answer

    Solution

    ATQ, Let the speed of the train is тАШXтАЩ m/s. Statement I: According to the question, (200 + 350)/X = (55/4) Or, (550/X) = (55/4) Or, X = 40 m/s Time taken to cross the bridge = (200 + 1150)/40 = (1350/40) seconds So, data in statement I alone is suicient to answer the question. Statement II: Let the time taken by the train to cross the platform and the bridge be тАШ11xтАЩ seconds and тАШ27xтАЩ seconds, respectively. According to the question, (200 + 350)/11x = (1150 + 200)/27x So, 5 = 5 So, data in statement II alone is not sufficient to answer the question.

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