a and b can do a work in 8 days c..., Latest Questions, General Mathematics

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

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+ AnswerC

+ Explanation(A + B)'s 1 days work` 1/8`.

(B + C)'s 1 day's work` = 1/12`

(A + C)'s 1 day's work` = 1/x`

:.2 (A + B + C)'s 1 days work` = (1/8 + 1/12 + 1/x)`

`:. 1/2 (5/24 + 1/x)`

`= 1/6 => 5/24 + 1/x`

`= 1/3 or 1/x`

`= 1/3 - 5/24`

`= 1/8 => x = 8`

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