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Question

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 :


Options:
A .  5 days
B .  6 days
C .  10 days
D .  `10 1/2`days
Answer: Option C

(B + C)'s 1 days work = `(1/9 + 1/12) = 7/36`

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

Remaining work  = `(1 - 7/12) =  5/12`.

Now , `1/24` work is done by  A in  1 day

So, `5/12` work is done by  A in `(24 xx 5/12)` =  10 days.




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