A takes twice as much time as B or thrice as much time as C to finish a piece of work. Working together, they can finish the work in 2 days. B can do the work alone in-

Question: A takes twice as much time as B or thrice as much time as C to finish a piece of work. Working together, they can finish the work in 2 days. B can do the work alone in-Solution:Suppose A, B and C take x, x/2 and x/3 days respectively to finish the work.Then, 1/x + 2/x + 3/x = 1/2⇒ 6/x = 1/2⇒ x/6 = 2∴ x = 12So, B takes (12/2) = 6 days to finish the work.