A and B together can do a piece of work in 8 days, B and C can do it in 12 days, A and C can do it in 8 days. Then A, B and C together can do the same work in:
6 days
Adding the three pair rates gives \((A+B)+(B+C)+(A+C) = \frac{1}{8}+\frac{1}{12}+\frac{1}{8} = \frac{1}{3}\), which equals \(2(A+B+C)\). So \(A+B+C = \frac{1}{6}\), meaning all three together finish the work in \(6\) days, matching option (D).
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