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    A boat takes 11 hours to travel a distance upstream and takes 5 hours to travel the same distance downstream. If the speed of the boat in still water
    Question

    A boat takes 11 hours to travel a distance upstream and takes 5 hours to travel the same distance downstream. If the speed of the boat in still water is 229m/s2 \frac {2}{9}\text{m/s} then, the speed of the stream (in km/h) is:

    A.

    2

    B.

    3

    C.

    1

    D.

    4

    Correct option is B

    Given:
    Upstream time 11 h and downstream time 5 hrs.
    The speed = 2 29\frac 29
    Solution:
    29\frac 29m/sec = 20/9 × 18/5= 8 km/h
    Upstream speed = 8 − x km/h
    Downstream speed = 8 + x km/h
    Let the speed of the stream is x km/h
    As per the question,
    => 11 ( 8 - x) = 5 (8 + x)
    => 16 x = 48
    => x = 3 km/h

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