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Discussion :: Time and Work

  1. A works twice as fast as B. If B can complete a work in 12 days independently, the number of days in which A and B can together finish the work in

  2. A.

    4 days

    B.

    6 days

    C.

    8 days

    D.

    18 days

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    Workspace

    Answer : Option A

    Explanation :

    Ratio of rates of working of A and B = 2 : 1.

     

    So, ratio of times taken = 1 : 2.

     

    B's 1 day's work =\( \frac { 1 } { 12 } \)

     

    Therefore A's 1 day's work =\( \frac { 1 } { 6 } \); (2 times of B's work)

     

    (A + B)'s 1 day's work =[\( \frac { 1 } { 6 } \)+\( \frac { 1 } { 2 } \)]=\( \frac { 3 } { 12 } \)=\( \frac { 1} { 4 } \)

     

    So, A and B together can finish the work in 4 days.


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