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:

5 days
6 days
10 days
10 1 days 2

Correct Answer: 10 days

Explanation:

(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

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