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Discussion :: Time and Work

  1. A can finish a work in 24 days, B in 9 days and C in 12 days. B and C start the work but are forced to leave after 3 days. The remaining work was done by A in:

    2. A.

    5 days
    B.

    6 days
    C.

    10 days
    D.

    10\(\frac { 1 } { 2 } \)days

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    Workspace

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    Answer : Option C

    Explanation :

    (B + C)'s 1 day's work =\([ \frac { 1 } { 9 }+\)\( \frac { 1 } {1 2 }]\)=\(\frac { 7 } { 36 } \)

     

    Work done by B and C in 3 days =[\(\frac { 7 } { 36 } *3]\)=\( \frac { 7 } {1 2 }\)

     

    Remaining work =[1-\( \frac { 7 } {1 2 }\)]=\( \frac { 5 } {1 2 }\)

     

    Now,\(\frac { 1 } { 24 } \)work is done by A in 1 day

     

    So,\( \frac { 5 } {1 2 }\)work is done by A in[\( 24*\frac { 5 } {1 2 } ]\)=10days

     

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