A & B can make paintings in 6 days, B & C can can make those paintings in 10 days. If A, B & C together can finish the work in 4 days, then A & C together will do it in ________ days.	Choose the correct choice from the following answers.
A) 4 (2/7) days  B) 1/ 8 days  C) 2 (2/5) days  D) 6 (3/ 8) days  E) 1/ 9 days
EXPLANATION:   Hint:   We are given that, A,B, &amp; C together complete the work in 4 days.   We can write, (A+B+C) 's 1 day work =	1/4   Similarly, (A+B) 's 1 day work = 1/6 days &amp; (B+C)'s 1 day work =	1/10   Since the work is divided in combination and we are asked to find out the combined work of (A + C), so we can find out,   (A + C)'s 1 day work = [2 (A+B+C)'s 1 day work] – [(A+ B) 's 1 day work + (B+C)'s 1 day work]   =[2*1/4]-[(1/6)+(1/10)]   =	1/2	–	16/60	=	1/2	–	4/15	=	7/30   Hence, A &amp; C together can complete the work in 30 /7 days = 4(2/7)days.   4 (2/7) daysNSWER IS 4 (2/7) days
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A & B can make paintings in 6 days, B & C can can make those paintings in 10 days. If A, B & C together can finish the work in 4 days, then A & C together will do it in ________ days.