Multiple choice

$4$ men or $6$ women complete a job in $30$ days. How much time will $12$ women and $2$ men take a complete the same work.

  1. $12$ days
  2. $30$ days
  3. $24$ days
  4. $20$ days
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A Correct answer
Explanation

Since 4 men do the same work as 6 women, 1 man equals 1.5 women. Thus 2 men and 12 women equal 15 women, and the work requires 6 × 30 = 180 woman-days. The required time is 180 ÷ 15 = 12 days.

AI explanation

Since 4 men equal 6 women in daily work capacity, the total work equals 120 man-days or 180 woman-days, making 1 man equal to 1.5 women. Combining the given team of 12 women and 2 men, we convert the men into women to get a total equivalent of 15 women. Using the formula Work equals Workers times Days, 180 woman-days divided by 15 women results in 12 days.

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