P alone can complete a piece of work in 10 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.
A) 6 (1/4) days
B) 30/4 days
C) 7 (3/4) days
D) 9/4 days
E) 9 (3/4) days
Work done by P alone in one day = 1/10th of the total work done by Q alone in one day = 1/3(of that done by P in one day) = 1/3(1/10 of the total) = 1/30 of the total.   Work done by P and Q, working together in one day = 1/10 + 1/30 = 4/30 of the total   They would take 30/4 days to complete the work working together.   ANSWER:30/4 days
<result>B</result>
P alone can complete a piece of work in 10 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?