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 : -

Question: 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 :
[A].

4 days

[B].

6 days

[C].

8 days

[D].

12 days

Answer: Option C

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.