Question
Download Solution PDFP and Q together complete a job in \(4{2 \over5}\) days. R and S complete the same job in \(4{8 \over9}\) days. If P, Q, R and S work together, how many days do they need to complete the same job?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
(P + Q) complete a job = 4\(2\over5\) = 22/5
(R + S) complete a job = 4\(8\over9\) = 44/9
Formula used:
Total work = efficiency × time
Calculation:
| Efficiency | Person | Time | Total work |
| 10 | (P + Q) | 22/5 | 44 |
| 9 | (R + S) | 44/9 |
Now,
Total time taken by P, Q, R, and S together to complete the work:
⇒ 44/19 = 2\(6\over19\) days
∴ The correct answer is 2\(6\over19\) days.
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