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

  • question_answer
    A motorboat whose speed is 15 km/h in still water goes 30 km downstream and comes back in 4 h and 30 min. The speed of the stream is

    A) 10 km/h

    B) 4 km/h

    C) 5 km/h

    D) 6 km/h

    Correct Answer: C

    Solution :

    [c] Let speed of the stream be x km/h. Speed of the stream in still water\[=15\,km/h\] Speed of the boat downstream\[=(15+x)\,km/h\]and speed of the boat upstream\[=(15-x)\,km/h\] \[\therefore \]                \[\frac{30}{15+x}+\frac{30}{15-x}=\frac{9}{2}\] \[\Rightarrow \]                                    \[x=5\,km/h\]


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