Multiple choice

8 men or 12 women can do a piece of work in 24 days. In how many days can the work be done by 8 men and 12 women?

  1. 12 days

  2. 18 days

  3. 24 days

  4. Cannot be determined due to insufficient data
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A Correct answer
Explanation

8 men = 12 women, so 1 man = 1.5 women. 8 men + 12 women = 12 women + 12 women = 24 women. Since 12 women take 24 days, 24 women take 12 days.

AI explanation

Assume the total job is 24 units. The given statement means either 8 men or 12 women complete this 24-unit job in 24 days, meaning the capacity of 8 men is 1 unit per day and the capacity of 12 women is 1 unit per day. Therefore, 8 men and 12 women working together have a combined capacity of 1 + 1 = 2 units per day. To complete the 24-unit job at this rate, they require 24 / 2 = 12 days.

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