Multiple choice

If 45 men work 12 hours in a day and finish a work in 16 days, then in how many days will 30 men finish the same work after working 8 hours in a day?

  1. 30

  2. 35

  3. 48

  4. 36
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Total work = 45 men × 12 hours/day × 16 days = 8640 man-hours. For 30 men working 8 hours/day: days needed = 8640 ÷ (30 × 8) = 8640 ÷ 240 = 36 days. This uses the formula M1D1H1 = M2D2H2 for work problems. The key inverse relationship is that fewer men and fewer hours per day both require more days.

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