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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

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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