A and B can do a piece of work in 8 days, B and C can do the same work in 12 days and A and C complete it in 8 days. In how many days A, B and C can complete the whole work, working together?

6

The above chart was obtained after following the details of the question:

Efficiency of A+B = 3

Efficiency of B+C = 2

Efficiency of A+C = 3

Efficiency of 2(A + B + C) = 8

Efficiency of A + B + C = 4

Days required by A, B  and C together to complete the work = \(\frac{24 }{ 4}\) = 6 days