Multiple choice

If 16 men or 20 boys can do a piece of work in 25 days. In what time will 28 men and 15 boys do it?

  1. $14(2/7) days$
  2. $33(1/3) days$
  3. $18(3/4) days$
  4. $10 days$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

16 men or 20 boys can complete the work in 25 days. So 16 men's work = 20 boys' work. Therefore 1 man = 20/16 = 5/4 boys. 28 men + 15 boys = 28(5/4) + 15 = 35 + 15 = 50 boys. Since 20 boys take 25 days, 50 boys take (20 × 25)/50 = 10 days.