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

  • question_answer
    A man rows a distance downstream in 45 min and the same distance upstream in 75 min. What is the ratio of speed of the stream to the boat in still water?

    A)  1 : 2                

    B)  1 : 3

    C)  1 : 4                

    D)  2 : 3

    Correct Answer: C

    Solution :

    [c]         Let speed of boat in still water = x km/hr Let speed of stream = y km/hr Let distance covered = d km \[\therefore \] \[\frac{d}{x+y}=\frac{45}{60}=\frac{3}{4}\]         ? (1) \[\frac{d}{x-y}=\frac{75}{60}=\frac{5}{4}\]                  ? (2) From (1) & (2), \[\frac{x-y}{x+y}=\frac{3}{5}\Rightarrow 5x-5y=3x+3y\] \[\Rightarrow 2x=8y\Rightarrow \frac{y}{x}=\frac{1}{4}\] \[\therefore \] Ratio of speed of the stream to boat in still water = 1 : 4


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