Answer with 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
= ( 2 x 1/6) - (1/8 + 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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