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

  • question_answer
    A steamer goes downstream from one port to another in 4 h. It covers the same distance upstream in 5 h. If the speed of the stream is 2 km/h, the distance between the two ports is

    A) 50 km

    B) 60 km

    C) 70 km

    D) 80 km

    Correct Answer: D

    Solution :

    [d] Let the distance between the two ports be x km. Then, Speed downstream\[=\frac{x}{4\,}\,km/h.\] Speed upstream\[=\frac{x}{5}\,km/h.\] Speed of the stream\[=\frac{1}{2}\left( \frac{x}{4}-\frac{x}{5} \right)\] \[\therefore \]    \[\frac{1}{2}\left( \frac{x}{4}-\frac{x}{5} \right)=2\] \[\Rightarrow \]            \[\frac{x}{4}=\frac{x}{5}=4\] \[\Rightarrow \]            \[x=80\] Hence, the distance between the two ports is 80 km.


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