Question
Download Solution PDFP and Q together can finish a piece of work in 4 days. If P alone can finish the work in 12 days, then what are the number of days required for Q alone to finish the work?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
P and Q together can finish a work in 4 days.
P alone can finish the work in 12 days.
Calculation:
Let the total work be the LCM of 4 and 12, which is 12 units.
Work done by P and Q together in 1 day = 12 units / 4 days = 3 units/day.
Work done by P alone in 1 day = 12 units / 12 days = 1 unit/day.
Work done by Q alone in 1 day = (P+Q)'s 1 day work - P's 1 day work = 3 units/day - 1 unit/day = 2 units/day.
Number of days Q takes to finish the work alone = Total work / Q's 1 day work = 12 units / 2 units/day = 6 days.
∴ Q alone can finish the work in 6 days.
Last updated on Dec 9, 2024
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