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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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 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). 8 days

B). 9 days

C). 9 days

D). 12 days


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Answered by on | Votes 0 |

8 days



(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
= ( 2 x 1/6 ) - ( 18 + 1/12 )
= 1/3 - 5/24
= 3/24
= 1/8
So, A and C together will do the work in 8 days.

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