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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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1. 

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
Therefore (A + C)'s 1 day's work
= 1-sym-oparen-h1 2 x 1 1-sym-cparen-h1 - 1-sym-oparen-h1 1 + 1 1-sym-cparen-h1
6 8 12
 
= 1-sym-oparen-h1 1 - 5 1-sym-cparen-h1
3 24
 
= 3
24
 
= 1 .
8
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