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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

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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