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? Choose the most appropriate option
A) 6 (1/4) days  B) 33/4) days  C) 7 (3/4) days  D) 8 (3/4) days  E) 9 (3/4) days
Work done by P alone in one day = 1/11 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:33/4) days
<result>B</result>
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?