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Railways Quantitative Aptitude Boats & Streams Sample Paper Boats and Streams Sample Test Paper-14

  • question_answer
    A boat takes 19 hours for travelling downstream from point A to point B and coming back to point C, midway between A and B. If the velocity of the stream is 4 km/hr. and the speed of the boat in still water is 14 km/hr. then the distance between A & B is

    A)  200 km

    B)  160 km

    C)  180 km

    D)  190 km

    Correct Answer: C

    Solution :

    [c]         Downstream speed = 14 + 4 = 18 km/hr Upstream speed = 14 ? 4 = 10 km/hr Let the distance between A and B = ?x? km \[\therefore \] \[\frac{x}{18}+\frac{\frac{x}{2}}{10}=19\] \[\therefore \] \[\frac{x}{18}+\frac{x}{20}=19\] \[\frac{10x+9x}{180}=19\] \[\frac{19x}{180}=19\Rightarrow x=180\,km\]


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