Multiple choice

6 boys or 4 men can complete a piece of work in 24 days. In how many days will 3 boys and 10 men together complete the same piece of work?

  1. 6 days

  2. 8 days

  3. 12 days

  4. Cannot be determined
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

6 boys = 4 men, so 1 boy = 2/3 man. The work is done by 3 boys + 10 men = 3(2/3) + 10 = 12 men. Since 4 men take 24 days, 12 men take (4*24)/12 = 8 days.

AI explanation

Since 6 boys equal 4 men, 3 boys equal 2 men. The total capacity of 3 boys and 10 men is 12 men. Using the formula (M1 * D1) / W1 = (M2 * D2) / W2, we have (4 * 24) / 1 = (12 * D2) / 1. Solving for D2 gives 96 / 12, so the work is completed in 8 days.

Keep practicing — related questions