Multiple choice

6 boys and 8 girls can do a piece of work in 10 days. And 26 boys and 48 girls can do the same work in 2 days. So in how many days 15 boys and 20 girls can do half the work?

  1. 2 days

  2. 4 days

  3. 1 days

  4. 8 days

  5. None of these

Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let 1 boy's work = b, 1 girl's work = g per day. From statements: 6b + 8g = 1/10 and 26b + 48g = 1/2. Solving gives b = 1/200, g = 1/160. For half work by 15 boys + 20 girls: (15/200 + 20/160) * days = 1/2. Days = 2.1 ≈ 2 days.