Question
Download Solution PDFP, Q, and R collectively are able to complete a task in 16(4/11) days, while P and Q together can finish the same task in 20 days. Considering these rates, can you determine how many days it would take for R alone to complete 60% of the task?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFP, Q and R together can do a piece of work in 16(4/11) days.
(1/P) + (1/Q) + (1/R) = (11/180) ----(1)
P and Q together can do the same work in 20 days.
(1/P) + (1/Q) = (1/20)----(2)
solving equation 1 and 2 we get
R = 90 days
Number of days taken by 'R' to finish the 60% of the work
Number of Days = 90 days * 60/100 = 54 days
So, R would take 54 days to complete 60% of the work.
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