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Discussion :: Time and Work

  1. A alone can do a piece of work in 6 days and B alone in 8 days. A and B undertook to do it for Rs. 3200. With the help of C, they completed the work in 3 days. How much is to be paid to C?

  2. A.

    Rs. 375

    B.

    Rs. 400

    C.

    Rs. 600

    D.

    Rs. 800

    View Answer

    Workspace

    Answer : Option B

    Explanation :

    C's 1 day's work =\(\frac { 1 } { 3} \)-[\(\frac { 1 } { 6} \)+\(\frac { 1 } {8} ]\)=\(\frac { 1 } { 3} \)-\(\frac { 7 } { 24} \)=\(\frac { 1 } { 24} \)

     

    A's wages : B's wages : C's wages =\(\frac { 1 } { 6} \):\(\frac { 1 } {8}\):\(\frac { 1 } { 24} \)=4:3:1

     

    C's share (for 3 days) = Rs[3\( *\frac { 1 } { 24 } *3200]\)= Rs. 400.


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