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8 men can knit 8 baskets in 8 days. In h...

8 men can knit 8 baskets in 8 days. In how many days cam 3 m en knit 3 baskets?

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To solve the problem step by step, we can use the concept of work done by men in terms of days and baskets. ### Step-by-Step Solution: 1. **Understanding the Given Information**: - 8 men can knit 8 baskets in 8 days. - We need to find out how many days it will take for 3 men to knit 3 baskets. 2. **Finding the Work Rate**: - From the information given, we can determine the work done by one man in one day. - If 8 men knit 8 baskets in 8 days, then: - Work done by 8 men in 8 days = 8 baskets. - Therefore, work done by 1 man in 8 days = 1 basket. - Work done by 1 man in 1 day = 1/8 basket. 3. **Calculating Total Work Required**: - We need to find out how many days it takes for 3 men to knit 3 baskets. - Total work required to knit 3 baskets = 3 baskets. 4. **Finding Work Done by 3 Men in 1 Day**: - Work done by 3 men in 1 day = 3 * (1/8) = 3/8 baskets. 5. **Calculating the Number of Days Required**: - Let the number of days required be \( d \). - In \( d \) days, the work done by 3 men = \( d * (3/8) \) baskets. - We set this equal to the total work required (3 baskets): \[ d * (3/8) = 3 \] - To find \( d \), we can rearrange the equation: \[ d = 3 / (3/8) = 3 * (8/3) = 8 \] 6. **Conclusion**: - Therefore, it will take 3 men 8 days to knit 3 baskets. ### Final Answer: 3 men can knit 3 baskets in **8 days**.
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PEARSON IIT JEE FOUNDATION- TIME AND WORK-TEST YOUR CONCEPTS
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