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Discussion :: Boats and Streams

  1. A boat running upstream takes 8 hours 48 minutes to cover a certain distance, while it takes 4 hours to cover the same distance running downstream. What is the ratio between the speed of the boat and speed of the water current respectively?

  2. A.

    2 : 1

    B.

    3 : 2

    C.

    8 : 3

    D.

    Cannot be determined

    E.

    None of these

    View Answer

    Workspace

    Answer : Option C

    Explanation :

    Let the man's rate upstream be x kmph and that downstream be y kmph.

     

    Then, distance covered upstream in 8 hrs 48 min = Distance covered downstream in 4 hr

     

    [XX8\( \frac { 4 } { 5 } \)]=(y x 4)

     

    y=\(\frac { 44} {5 } X=4Y\)

     

    z=\( [\frac { 16X } { 5 } *\)\( \frac { 1 } { 2 } \)]:[\( [\frac { 6X } { 5 } *\)\( \frac { 1 } { 2 } \)]


     Required ratio =[\([ \frac { Y+X } { 2 } ]\):\([ \frac { Y-X} { 2 } ]\)

     

      =\(\frac { 8} { 5} \):\(\frac { 3} { 5} \)

     

     = 8 : 3

     


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