Question
Download Solution PDFM and N together can complete a work in 18 days, N and P in 26 days, and M and P in 14 days. Find the approximate number of days in which everyone working together completes the work.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
M and N together can complete a work in 18 days
M and P together can complete a work in 14 days.
N and P together can complete a work in 26 days
Concept:
Work/Days = efficiency
Calculation
| Time | Total work(LCM of 18,14 and 26) | Efficiency | |
| M + N | 18 | 1638 | 91 |
| M + P | 14 | 117 | |
| N + P | 26 | 63 |
Total efficiency = 91 + 117 + 63 = 271
Total time taken together = 1638/271/2
= 3276/271 = 12 days approx.
The answer is 12 days.
Last updated on Jul 8, 2025
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