Time And Work Q65

65.	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.