B and C together can complete a work in 8 days, A and B together can complete the same work in 12 days, and A and C together can complete the same work in 16 days. In how many days can A, B and C together complete the same work?
Question
B and C together can complete a work in 8 days, A and B together can complete the same work in 12 days, and A and C together can complete the same work in 16 days. In how many days can A, B and C together complete the same work?
Let A complete the work in X days.
B can complete the work in Y days.
C can complete the work in Z days.
Then, 2[(1/X)+(1/Y)+(1/Z)] = [(1/8)+(1/12)+(1/16)]
= 13/96
Therefore complete work will be done in 96/13 days. Hence option 2 is correct.
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