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Time and Work - General Aptitude

Q1:

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

ANS:C - 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 ) - ( 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.