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Discussion :: Time and Work

  1. A and B can together finish a work 30 days. They worked together for 20 days and then B left. After another 20 days, A finished the remaining work. In how many days A alone can finish the work?

    2. A.

    40
    B.

    50
    C.

    54
    D.

    60

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    Workspace

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    Answer : Option D

    Explanation :

    (A + B)'s 20 day's work =[\( \frac { 1 } { 30 }\)*20]=\( \frac { 2 } { 3} \)

     

    Remaining work =[1-\( \frac { 2 } { 3} \)]=\( \frac {1 } { 3} \)

     

    Now,\( \frac {1 } { 3} \)work is done by A in 20 days.

     

    Therefore, the whole work will be done by A in (20 x 3) = 60 days.

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