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    A man can row 18 km/h in still water. It takes him two times as long to row up as to row down the river. Find the rate of the stream.
    Question

    A man can row 18 km/h in still water. It takes him two times as long to row up as to row down the river. Find the rate of the stream.

    A.

    12 km/h

    B.

    6 km/h

    C.

    24 km/h

    D.

    9 km/h

    Correct option is B

    Given:
    Speed of man= 18 km/h
    downstream time = 2× upstream time
    Solution:
    Let speed of stream = s
    Distance = d
    Then,
    Downstream time = d18+s\frac{d}{18+s}

    Upstream time = d18s\frac{d}{18-s}

    As per the question,

    d18+s=2×d18s18s18+s=2118s=36+2s3s=18s=6km/h \frac{d}{18+s}=2\times\frac{d}{18-s}\\ \frac{18-s}{18+s}=\frac{2}{1}\\18-s = 36+2s\\3s = 18\\ s = 6 km/h\\


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