Question
Download Solution PDFP and Q together can complete a piece of work in 6 days. If P can alone complete the work in 18 days, then the number of days required for Q to finish the work is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven
P and Q together can complete a piece of work in 6 days.
P can alone complete the work in 18 days.
Formula used:
Total work = man × efficiency
Calculation
P’s 1-day work = 1/18
(P + Q)’s 1 day work = 1/6
Q’s 1 day work = 1/6 – 1/18 = 1/9
Hence, Q can alone do the work in 9 days
Shortcut Trick Q’s = [(P + Q) × P] /(P + Q - P)
Q’s = (18 × 6)/(18 - 6)
Q’s = 9 days.
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