A can do a piece of work in 6 hours; B and C together can do it in 4 hours, which A and C together can do it in 3 hours. How long will B alone take to do it?\nOptions:\n(A) 8hours\n(B) 6hours\n(C) 14hours\n(D) 12hours\n(E) 5hours Stream of consciousness:
User
A's 1 hour work = 1/6;\n(B + C)'s 1 hour work = 1/4;\n(A + C)'s 1 hour work = 1/3\n(A + B + C)'s 1 hour work = (1/4 + 1/6) = 5/12\nB's 1 hour work = (5/12 - 1/3) = 1/12\nB alone will take 12 hours to do the work.
Thus, the answer is (D).
Assistant