Discussion :: Time and Work

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?
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.
Be The First To Comment