Subjects algebra

Men Work Days

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1. **State the problem:** We know 8 men can complete a work in 12 days. We need to find how many days 6 men will take to complete the same work. 2. **Understand the relationship:** The amount of work done is constant. Work done = Number of men × Number of days. 3. **Calculate total work:** Total work = $8 \times 12 = 96$ man-days. 4. **Find days for 6 men:** Let the number of days for 6 men be $x$. Then, $6 \times x = 96$. 5. **Solve for $x$:** $$x = \frac{96}{6} = 16$$ 6. **Conclusion:** 6 men will take 16 days to complete the work.