P alone can complete a piece of work in 6 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?	Choose the correct choice from the following answers.
A) 6 (1/4) days  B) 6 (3/4) days  C) 7 (3/4) days  D) 8 (3/4) days  E) 9 (3/4) days
Work done by P alone in one day = 1/9th of the total work done by Q alone in one day = 1/3(of that done by P in one day) = 1/3(1/9 of the total) = 1/27 of the total.   Work done by P and Q, working together in one day = 1/9 + 1/27 = 4/27 of the total   They would take 27/4 days = 6 (3/4) days to complete the work working together.   ANSWER:6 (3/4) days
<result>B</result>
P alone can complete a piece of work in 6 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?