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Discussion :: Time and Work

  1. A, B and C can complete a piece of work in 24, 6 and 12 days respectively. Working together, they will complete the same work in:

  2. A.

    \( \frac { 1 } { 24 }\)day

    B.

    \( \frac { 7 } { 24 }\)day

    C.

    3\( \frac { 3 } {7}\)day

    D.

    4 days

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    Answer : Option C

    Explanation :

    Formula: If A can do a piece of work in n days, then A's 1 day's work =\(\frac { 1 } { n }\)

     

    A + B + C)'s 1 day's work =\([ \frac { 1 } { 24 } \)+\( \frac { 1 } { 6 } \)+\( \frac { 1 } {12 } \)]=\( \frac { 7 } { 24 } \)

     

    Formula: If A's 1 day's work =\(\frac { 1 } { n }\)then A can finish the work in n days.

     

    So, all the three together will complete the job in\( (\frac { 24 } {7 } )\)days=3\( \frac { 3 } {7}\)days


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