Multiple choice

8 men or 10 boys can complete a work in 174 days. 12 men and 14 boys will complete the same work in how many days?

  1. 60 days

  2. 50 days

  3. 72 days

  4. 84 days
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

8 men or 10 boys can complete work in 174 days. Let 1 man's work = m units/day and 1 boy's work = b units/day. So 8m = 10b, meaning m/b = 5/4. Let m = 5 units/day, then b = 4 units/day. Total work = 8 × 5 × 174 = 3480 units. 12 men and 14 boys do 12(5) + 14(4) = 60 + 56 = 116 units/day. Days needed = 3480/116 = 30 days. Wait - let me recalculate: 8m × 174 = total work. If 8m = 1 work, then 1 work = 8m. So 8m × 174 = 1392m total work. 12m + 14(0.8m) = 12m + 11.2m = 23.2m. Days = 1392m/23.2m = 60 days.

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