Multiple choice

If 20 men working 12.5 hours a day can do a piece of work in 9 days, in how many days will 15 men working for 8 hours a day do the same piece of work?

  1. 16.25 days

  2. 18.25 days

  3. 18.75 days

  4. 24 days
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Total work = 20 × 12.5 × 9 = 2250 man-hours. For 15 men working 8 hours daily: days needed = 2250 ÷ (15 × 8) = 2250 ÷ 120 = 18.75 days. This is a direct and inverse proportion problem where more workers or longer hours reduce the time needed.

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