Question
Download Solution PDFP alone can do a piece of work in 24 days. Q alone can do it in 30 days and R alone can do it in 20 days. In how many days they can complete it together?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Time taken by P alone = 24 days
Time taken by Q alone = 30 days
Time taken by R alone = 20 days
Formula Used:
Combined one-day work = Sum of each person's one-day work
Total time to complete the work = 1/Combined one-day work
Calculation:
Combined work of P, Q, R = 1/24 + 1/30 + 1/20 = (5 + 4 + 6)/120 = 15/120 = 1/8
So, Total required time = 1/(1/8) = 8 Days
∴ P, Q, and R together can complete the work in 8 days.
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