A and B can do a work in 8 days, B and C can do the same work in 12 days. A, B and C together can finish it in 6 days. A and C together will do it in :

4 days
6 days
8 days
12 days

Correct Answer: 8 days

Explanation:

(A + B + C)'s 1 day's work =	1	;
	6

(A + B)'s 1 day's work =	1	;
	8

(B + C)'s 1 day's work =	1	.
	12

∴ (A + C)'s 1 day's work

=	❨	2 x	1	❩	-	❨	1	+	1	❩
			6				8		12

=	❨	1	-	5	❩
		3		24

=	3
	24

=	1	.
	8

So, A and C together will do the work in 8 days.

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