Men, women and one job — Time & Work Aptitude Question
Men, women and one job: 6 men or 10 women can complete a job in 15 days. How many days will 3 men and 5 women take… Answer and worked solution on CodeKairo.
- Topic: Time & Work
- Section: Quantitative Aptitude
- Difficulty: Medium
- Time target: 60 seconds
Question
6 men or 10 women can complete a job in 15 days. How many days will 3 men and 5 women take together?
Options
- 10
- 12
- 15
- 20
Show the answer and the worked solution
Correct answer: C. 15
Worked solution
- 6 men ≡ 10 women, so 3 men ≡ 5 women.
- 3 men + 5 women ≡ 5 women + 5 women = 10 women.
- 10 women take 15 days.
Answer: 15 days.
The idea
Convert everyone into one unit (men or women) using the equivalence given, then compare with the known group. Half of each group here is exactly the original workforce.
Shortcut. Rates: 3 men do 1/30 of the job a day (half of 6 men's 1/15) and 5 women also 1/30; together 1/15, so 15 days.
Common trap. 10 — converting 3 men and 5 women into 10 women-equivalents and then writing that head-count as the answer; 10 women take 15 days.