Some men leave — Time & Work Aptitude Question
Some men leave: 24 men can complete a work in 16 days. After 4 days, 8 men leave. Answer and worked solution on CodeKairo.
- Topic: Time & Work
- Section: Quantitative Aptitude
- Difficulty: Medium
- Time target: 90 seconds
Question
24 men can complete a work in 16 days. After 4 days, 8 men leave. How many more days will the rest take to finish?
Options
- 14 days
- 16 days
- 18 days
- 20 days
Show the answer and the worked solution
Correct answer: C. 18 days
Worked solution
- Total work = 384 man-days.
- In 4 days: 24 × 4 = 96 done, leaving 288.
- With 16 men: 288 ÷ 16 = 18 more days.
Answer: 18 days.
The idea
Man-days again. Note the question asks for the additional days, not the total elapsed time.
Shortcut. What is left is 12 days' work for 24 men; 16 men need 12 × 24/16 = 18 days.
Common trap. 16 days — adding a third to the remaining 12 days because a third of the men left; two thirds of the crew need 3/2 of the time, 18 days.