Quantitative Aptitude :: Time and Work - Discussion

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Explanation:
A's 1 day work = 1/24
B's 1 day work = 1/9
C's 1 day work = 1/12

S0 (B + C)'s 1 day's work = (1/9+1/12)=7/36

Work done by B and C in 3 days = (3*7/36)=7/12

left work = (1?7/12)=5/12

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1/24 part of work done by A = 1 day.

So 5/12 part of work is done by A = (24?5/12) = 10 days.