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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:

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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:

[A]. 5 days
[B]. 6 days
[C]. 10 days
[D]. 10 1/2 days

Answer: Option C

Explanation:

(B + C)'s 1 day's work = 1-sym-oparen-h1 1 + 1 1-sym-cparen-h1 = 7 .
9 12 36
Work done by B and C in 3 days = 1-sym-oparen-h1 7 x 3 1-sym-cparen-h1 = 7 .
36 12
Remaining work = 1-sym-oparen-h1 1 - 7 1-sym-cparen-h1 = 5 .
12 12
Now, 1 work is done by A in 1 day.
24
So, 5 work is done by A in 1-sym-oparen-h1 24 x 5 1-sym-cparen-h1 = 10 days.
12 12
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