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

  • question_answer
    A man can row at 5 km/h in still water. If the river is running at 1 km/h, it takes him 75 min to row to a place and back. How far is the place?

    A) 2.5 km

    B) 3 km

    C) 4 km

    D) 5 km

    Correct Answer: B

    Solution :

    [b] Speed downstream\[=(5+1)\,km/h\] \[=6\,km/h\] Speed upstream\[=(5-1)\,km/h\] \[=4\,km/h\] Let the required distance be x km. Then, \[\frac{x}{6}+\frac{x}{4}=\frac{75}{60}=\frac{5}{4}\] \[\Rightarrow \]            \[(2x+3x)=15\] \[\Rightarrow \]            \[5x=15\] \[\Rightarrow \]            \[x=3\] Required distance\[=3\,km/h\]


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