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SSC Quantitative Aptitude Boats & Streams Question Bank Train and Boat (I)

  • question_answer
                 A 210 m long train takes 6 s to cross a man running at 9 km/h in a direction opposite to that of the train. What is the speed of the train (in km/h)?

    A) 127

    B) 121

    C) 117

    D) 108

    Correct Answer: C

    Solution :

    [c] Let the speed of the train be \[x\,km/h.\] Then, relative speed of the train and man \[=(x+9)\,km/h\] \[\text{Speed=}\frac{\text{Distance}}{\text{Time}}\]             \[\Rightarrow \]            \[x+9=\frac{210}{6}\times \frac{18}{5}\]             \[\Rightarrow \]            \[x+9=126\]             \[\therefore \]    \[x=117\]


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