A and B can do a piece of work in 12 days. B and C in 8 days and C and A in 6 days. How long would B take to do the same work alone ?
A and B can do a piece of work in 12 days. B and C in 8 days and C and A in 6 days. How long would B take to do the same work alone ?
[A]24 days
[B]32 days
[C]40 days
[D]48 days
48 days
(A + B)’s 1 day’s work 
(B + C)’s 1 day’s work 
(C + A)’s 1 day’s work 
On adding,
2(A + B + C)’s 1 day’s work
∴ (A + B + C)’s 1 day’s work 
On subtracting (III) from (IV),
B’s 1 day’s work
∴ B can complete the work in 48 days.
Hence option [D] is correct answer.
