Multiple choice

5 men can complete a job in 12 days. 10 women can complete the same job in 15 days. In how many days will 10 men and 5 women complete the job if they work together?

  1. 4

  2. 5

  3. 6

  4. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

5 men = 12 days => 1 man = 60 days. 10 women = 15 days => 1 woman = 150 days. 10 men's rate = 10/60 = 1/6. 5 women's rate = 5/150 = 1/30. Combined rate = 1/6 + 1/30 = 5/30 + 1/30 = 6/30 = 1/5. Time = 5 days.

AI explanation

The total work can be calculated as 5 men multiplied by 12 days, which equals 60 man-days, and 10 women multiplied by 15 days, which equals 150 woman-days. Setting them equal gives 1 man equals 2.5 women, meaning 10 men and 5 women equal 30 women. Dividing the total 150 woman-days by 30 workers gives 5 days. The result is 5 days.

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