Subjects algebra

Paddy Harvest Time A38Fdc

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1. **Problem Statement:** A field of paddy can be harvested by 10 people in 20 days. If 2 people are less (i.e., 8 people), how many days will it take to harvest the same field? 2. **Formula and Concept:** The total work done is constant. Work = Number of people \( \times \) Number of days. 3. Let the total work be \( W \). Then, $$ W = 10 \times 20 = 200 \text{ person-days} $$ 4. If 8 people work, let the number of days required be \( d \). Then, $$ 8 \times d = W = 200 $$ 5. Solve for \( d \): $$ d = \frac{200}{8} = 25 $$ 6. **Answer:** It will take 8 people 25 days to harvest the paddy field. This is because fewer people means more days are needed to complete the same amount of work.