8 men work for 6 days to complete a piece of work. How many men are required…

Concept: For a fixed amount of work, the number of workers and the number of days needed are inversely proportional — their product (men × days) stays constant, equal to the total work in man-days.

1. The total work equals the original men × days: 8 men × 6 days = 48 man-days.

2. To finish the same 48 man-days of work in 0.5 day, divide the total man-days by the new number of days: 48 ÷ 0.5 = 96.

3. So 96 men are required to complete the work in half a day.

Check: 96 men × 0.5 day = 48 man-days, which equals the original 8 × 6 = 48 man-days — confirming the work amount matches exactly.