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

  • question_answer
    A man can row \[7\frac{1}{2}\]km an hour in still water and he finds that it takes him twice as long to row down the river. The rate of the stream is

    A) 2.4 km/h

    B) 2.5 km/h

    C) 3.4 km/h

    D) 3.5 km/h

    Correct Answer: B

    Solution :

    [b] Let the rate of stream be x km/h. Then, Speed downstream\[=\left( \frac{15}{2}+x \right)\,km/h,\] Speed upstream\[=\left( \frac{15}{2}-x \right)\,km/h\] \[\left( \frac{15}{2}+x \right)=2\left( \frac{15}{2}-x \right)\] \[\Rightarrow \]            \[3x=\frac{15}{2}\] \[\Rightarrow \]            \[x=\frac{15}{2\times 3}=\frac{5}{2}=2.5\] \[\therefore \]    Rate of stream \[=2.5\,km/h\]


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