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Discussion :: Time and Work

  1. A takes twice as much time as B or thrice as much time as C to finish a piece of work. Working together, they can finish the work in 2 days. B can do the work alone in:

    2. A.

    4 days
    B.

    6 days
    C.

    8 days
    D.

    12 days

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    Answer : Option B

    Explanation :

    Suppose A, B and C take x,\(\frac {X } { 2 } \)and\(\frac {X } { 3} \)days respectively to finish the work.

     

    Then,[\( \frac { 1 } { X } \)+\( \frac { 2 } { X } \)+\( \frac { 3 } { X } \)]=\(\frac { 1 } { 2 } \)

     

    \( \frac { 6 } { X } \)=\(\frac { 1 } { 2 } \)

     

     x = 12.

     

    So, B takes (12/2) = 6 days to finish the work.

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