If 8 men can reap 80 hectares in 24 days, then how many hectares can 36 men…
2024
If 8 men can reap 80 hectares in 24 days, then how many hectares can 36 men reap in 30 days?
- A.
450
- B.
375
- C.
300
- D.
475
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Show answer & explanation
Correct answer: A
Answer: 450
Explanation:
Work is proportional to number of men × number of days (man-days).
Initial: 8 men × 24 days = 192 man-days produce 80 hectares.
One man-day produces 80/192 = 5/12 hectare.
New: 36 men × 30 days = 1080 man-days; area = 1080 × (5/12) = 450 hectares.
Alternate direct proportion: multiply 80 by (36/8) × (30/24) = 80 × 4.5 × 1.25 = 450.