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    Question

    Speed of two trains 'A' and 'B' is 16 m/s and ___ m/s

    respectively. Length of 'B' and 'A' is ___ metres and 320 metres, respectively. Time taken by the trains to cross each other when moving in same direction is 48 seconds. The data given in which among the given options will fill the blank in the same order so as to make the statement true? I. 29, 304 II. 29, 314 III. 22, 200
    A All I, II and III Correct Answer Incorrect Answer
    B Both I and III Correct Answer Incorrect Answer
    C Both II and III Correct Answer Incorrect Answer
    D Both I and II Correct Answer Incorrect Answer
    E Only I Correct Answer Incorrect Answer

    Solution

    Statement I: Relative speed = 29 - 16 = 13 m/s
    Sum of length of both the trains = 304 + 320 = 624 metres
    Time taken to cross each other = (624/13) = 48 seconds So, statement I is true. Statement II: Relative speed = 29 - 16 = 13 m/s
    Sum of length of both the trains = 314 + 320 = 634 metres
    Time taken to cross each other = (634/13) ≈ 48.8 seconds So, statement II is false. Statement III: Relative speed = 22 - 16 = 6 m/s
    Sum of length of both the trains = 200 + 320 = 520 metres
    Time taken to cross each other = (520/6) ≈ 86.7 seconds So, statement III is false. Therefore, only statement I is true. Hence, option E.

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