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 :

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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.