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Discussion :: Time and Work

  1. Twenty women can do a work in sixteen days. Sixteen men can complete the same work in fifteen days. What is the ratio between the capacity of a man and a woman?

  2. A.

    3 : 4

    B.

    4 : 3

    C.

    5 : 3

    D.

    Data inadequate

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    Answer : Option B

    Explanation :

    (20 x 16) women can complete the work in 1 day.

     

     1 woman's 1 day's work =\( \frac { 1 } { 320 } \)

     

    (16 x 15) men can complete the work in 1 day.

     

     1 man's 1 day's work =\( \frac { 1 } { 240 } \)

         

      so,required ratio    =   \( \frac { 1 } { 240 } \):\( \frac { 1 } {320 } \)

                                         

                                      =\( \frac { 1 } { 3}\):\( \frac { 1 } {4}\)

                                   

                                   = 4 : 3 (cross multiplied)

            


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