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?

Answer: A. 450Answer: 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…

  1. A.

    450

  2. B.

    375

  3. C.

    300

  4. D.

    475

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Correct answer: A

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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.

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