Multiple choice

Either 8 men or 17 women can paint a house in 33 days. The number of days required to paint three such houses by 12 men and 24 women working at the same rate is

  1. 44

  2. 43

  3. 34

  4. 66
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

8M = 17W, so 1M = 17/8 W. 12M + 24W = 12*(17/8)W + 24W = 25.5W + 24W = 49.5W. 17 women take 33 days for 1 house, so 1 woman takes 17*33 days for 1 house. 49.5 women take (17*33)/49.5 days for 1 house = 11.33 days. For 3 houses, time = 11.33 * 3 = 34 days.

AI explanation

By the unit conversion method, 8 men equal 17 women, so 1 man equals 17 over 8 women. The total group of 12 men and 24 women equals 24 plus (12 multiplied by 17 over 8) women, which is 24 plus 25.5, or 49.5 women. The work required to paint three houses is 3 multiplied by 17 multiplied by 33 women-days. By the work formula, the required time is 1683 divided by 49.5, which results in 34 days.

Keep practicing — related questions