A can do a piece of work in 4 hours; B and C together can do it in 3…

Question

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?

Accepted Answer

Option C. 12 hours. Answer & Solution Answer: Option C Solution: & A's\, 1\, hour's\, work = 1/4; & (B + C)'s\, 1\, hour's\, work = 1/3; & (A + C)'s\, 1\, hour's\, work = 1/2. & (A + B + C)'s\, 1\, hour's\, work & = 1/4 + 1/3 = 712 & B's\, 1\, hour's\, work & = 712 - 1/2 = 112 & B\, along\, will\,…