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If 52 men do a piece of work in 35 days in how many days 28 men will do it?
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If 52 men do a piece of work in 35 days in how many days 28 men will d...
Understanding the Problem
To determine how long it will take for 28 men to complete the same work that 52 men can finish in 35 days, we can use the concept of "man-days."
Step 1: Calculate Total Man-Days
- Total work done by 52 men in 35 days:
- Total Man-Days = Number of Men × Number of Days
- Total Man-Days = 52 men × 35 days = 1820 man-days
Step 2: Determine Days for 28 Men
- Now, we need to find out how many days (D) it will take for 28 men to complete the same amount of work (1820 man-days).
- We can set up the equation:
- 28 men × D days = 1820 man-days
Step 3: Solve for D
- Rearranging the equation gives us:
- D = 1820 man-days ÷ 28 men
- D = 65 days
Conclusion
Thus, 28 men will take 65 days to complete the work.
Summary of the Calculation
- Total Man-Days: 1820
- Days for 28 Men: 65 days
This method illustrates the relationship between the number of workers and the time taken to complete a task, demonstrating that fewer workers will take longer to finish the same workload.
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If 52 men do a piece of work in 35 days in how many days 28 men will do it?
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