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    A steamer goes downstream and covers the distance between two ports in 6 h. It covers the same distance upstream in 8h. If the speed of the stream is
    Question

    A steamer goes downstream and covers the distance between two ports in 6 h. It covers the same distance upstream in 8h. If the speed of the stream is 3 km/h, then the speed of the streamer in still water is:

    A.

    10 km/h

    B.

    21 km/h

    C.

    10.375 km/h

    D.

    20.5 km/h

    Correct option is B

    Given:
    A steamer goes downstream and covers the distance between two ports in 6 h.
    It covers the same distance upstream in 8h.
     speed of the stream is 3 km/h,
    Formula Used;
    speed = distance ×\timestime
    Solution:
    speed of stream =3 km/h
     let speed of boat = b km/h
    speed in upstream =b-3 km/h
    speed in downstream =b+3 km/h
    according to question = distance travelled in upstream and downstream is same 
     (b+3)×\times6=(b-3)×8
    6b +18 =  8b -24
    2b =42
    b=21 km/h
    ​​​​​Thus, correct option is (b).

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