Question
Download Solution PDF15 men can complete a work in 25 days, and 25 women can complete the same work in 40 days. If all 15 men and 25 women work together, in how many days will the work get completed?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
15 men can complete a work = 25 days
25 women can complete the same work = 40 days
Formula used:
Total work = efficiency × time
Calculation:
Let the efficiency of a man = M
The efficiency of a woman = W
According to the question:
⇒ 15 × M × 25 = 25 × W × 40
⇒ M/W = 40/15 = 8/3
Total work = efficiency × time
⇒ 25 × 3 × 40 = 3000
Time taken to complete the work if 15 men and 25 women work together
⇒ 3000/{(15 × 8) + (25 × 3)} = 3000/(120 + 75)
⇒ 3000/195 = \(15 \frac{5}{13}\) days
∴ The correct answer is \(15 \frac{5}{13}\) days.
Last updated on Jul 12, 2025
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