Multiple choice

15 persons complete a work in 25 days working 9 hours daily. In how many days will 25 persons complete that working 5 hours daily?

  1. 27 days

  2. 25 days

  3. 20 days

  4. 24 days

  5. 30 days
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

This is an inverse proportion problem. Total work = 15 × 25 × 9 = 3375 person-hours. For 25 persons working 5 hours daily: days = 3375 ÷ (25 × 5) = 3375 ÷ 125 = 27 days. As number of persons increases, days decrease (inverse proportion), and as hours decrease, days increase (inverse proportion).

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