Hectares reaped — Time & Work Aptitude Question
Hectares reaped: If 8 men can reap 80 hectares in 24 days, how many hectares can 36 men reap in 30 days? Answer and worked solution on CodeKairo.
- Topic: Time & Work
- Section: Quantitative Aptitude
- Difficulty: Medium
- Time target: 90 seconds
Question
If 8 men can reap 80 hectares in 24 days, how many hectares can 36 men reap in 30 days?
Options
- 360
- 400
- 450
- 500
Show the answer and the worked solution
Correct answer: C. 450
Worked solution
- 192 man-days produce 80 hectares, so one hectare takes 2.4 man-days.
- 36 men over 30 days = 1,080 man-days.
- Hectares = 1,080 ÷ 2.4 = 450.
Answer: 450.
The idea
Reduce to work per man-day, then scale. The chain rule (80 × 36/8 × 30/24) gives the same result in one line.
Shortcut. 80 hectares per 192 man-days is 5 hectares per 12 man-days; 36 × 30 = 1,080 man-days is 90 such blocks, so 450 hectares.
Common trap. 360 — scaling by the men alone (80 × 36/8) and forgetting the move from 24 to 30 days.