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Time and Work - General Aptitude

Q1:

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 days
2

ANS:C - 10 days

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