A can do a piece of work in 4 hours, B and C together can do it in 3 hours , while A and C together can do it in 2 hours. How long will B alone take to do it?

A can do a piece of work in 4 hours, B and C together can do it in 3 hours , while A and C together can do it in 2 hours. How long will B alone take to do it? Correct Answer 12 hours

A 1 hour work = 1/4 (B + C) 1 hour work = 1/3 (A + C) 1 hour work = 1/2 (A + B + C) 1 hour work = (1/4 + 1/3) = 7/12 B 1 hour work = ( 7/12 - 1/2) = 1/12 B alone will take 12 hour to do the work.
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