Multiple choice

16 men or 20 women or 32 boys can complete a work in 40 days. In how many days 8 men and 30 women 16 boys will complete the same work?

  1. 15 days

  2. 18 days

  3. 24 days

  4. 20 days

  5. 16 days
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

First find individual work rates: 16 men = 40 days, so 1 man = 640 man-days. Similarly, 1 woman = 800 woman-days, 1 boy = 1280 boy-days. Combined work per day from 8 men + 30 women + 16 boys = 8/640 + 30/800 + 16/1280 = 0.0125 + 0.0375 + 0.0125 = 0.0625. Days needed = 1/0.0625 = 16 days. The calculation is correct.

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