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SSC Sample Paper SSC CGL - Sample Paper-6

  • question_answer
    A man standing on a platform finds that a train takes 3 s to pass him and another train of the same length moving in the opposite direction, takes 4 s. The time taken by the trains to pass each other will be

    A)  \[2\frac{3}{7}\,s\]                    

    B)  \[3\frac{3}{7}\,s\]

    C)  \[4\frac{3}{7}\,s\]                    

    D)  \[5\frac{3}{7}\,s\]

    Correct Answer: B

    Solution :

    Let the length of each train \[=x\,m.\] Then, speed of first train \[=\frac{x}{3}m/s\] Speed of second train \[=\frac{x}{4}m/s\] They are moving in opposite Direction \[\therefore \]      Relative speed \[=\frac{x}{3}+\frac{x}{4}\]             \[=\frac{4x+3x}{12}=\frac{7x}{12}m/s\] Total length \[=x+x=2x\,m\] \[\therefore \] Time taken \[=\frac{2x}{\begin{matrix}    7x  \\    12  \\ \end{matrix}}=\frac{24}{7}=3\frac{3}{7}s\]


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