More men to finish in 6 days instead of 8 — Aptitude
More men to finish in 6 days instead of 8: 12 men can complete a work in 8 days. How many men are needed to finish… Answer and worked solution on CodeKairo.
- Topic: Time & Work
- Section: Quantitative Aptitude
- Difficulty: Easy
- Time target: 45 seconds
Question
12 men can complete a work in 8 days. How many men are needed to finish it in 6 days?
Options
- 14
- 15
- 16
- 18
Show the answer and the worked solution
Correct answer: C. 16
Worked solution
- Work = 12 × 8 = 96 man-days.
- Men needed = 96 ÷ 6 = 16.
Answer: 16.
The idea
Keep the man-days product constant. The count of workers rises exactly as the time falls.
Shortcut. Time falls to 6/8 = 3/4, so the crew rises by 4/3: 12 × 4/3 = 16 men.
Common trap. 14 — adding the 2 days saved to the 12 men, a direct adjustment where an inverse one is needed.