P alone can complete a piece of work in 11 days.

P alone can complete a piece of work in 11 days. Work done by Q alone in one day is equal to one-third of the work done by P alone in one day. In how many days can the work be completed if P and Q work together?

Quiz

Answer/Solution

33/4) days

Steps/Work

Work done by P alone in one day = 1/11 th of the total work done by Q alone in one day = 1/3(of that done by P in one day) = 1/3(1/11 of the total) = 1/33 of the total.
Work done by P and Q, working together in one day = 1/11 + 1/33 = 4/33 of the total
They would take 33/4 days to complete the work working together.
ANSWER:B