Men and women together — Time & Work Aptitude Question
Men and women together: 3 men or 6 women can complete a work in 20 days. How long will 4 men and 4 women take? Answer and worked solution on CodeKairo.
- Topic: Time & Work
- Section: Quantitative Aptitude
- Difficulty: Medium
- Time target: 90 seconds
Question
3 men or 6 women can complete a work in 20 days. How long will 4 men and 4 women take?
Options
- 8 days
- 10 days
- 12 days
- 15 days
Show the answer and the worked solution
Correct answer: B. 10 days
Worked solution
- 3 men ≡ 6 women, so 1 man ≡ 2 women.
- 4 men + 4 women ≡ 8 + 4 = 12 women.
- Work = 6 women × 20 days = 120 woman-days, so 12 women take 120 ÷ 12 = 10 days.
Answer: 10 days.
The idea
Convert everyone into a single unit using the equivalence given, then use the man-days (or woman-days) total. Mixing units is the only pitfall.
Shortcut. Count in men: 4 women = 2 men, so the team is 6 men, twice the 3 who need 20 days — 10 days.
Common trap. 15 days — counting all 8 workers as women (120 woman-days ÷ 8); the 4 men are worth 8 women.