Final answer:
The formula for work and time relationships is used to determine how many days 52 men will take to complete a job based on the given information about 24 workers. The answer is 6 days.
Explanation:
To solve this problem of work and time, we use the formula: Number of workers × time ∝ amount of work.
Given that 24 workers complete the job in 13 days, the total man-days for the job is 24 × 13 = 312 man-days. To find how many days 52 workers will take, we use the formula: 52 × unknown days = 312 man-days. Solving for the unknown days gives us 6 days for 52 men to complete the same job.
Therefore, 52 men will take 6 days to complete the work.
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