You are managing a construction project, and you must determine how long it will take to complete the foundation work. You have data from a similar project showing that the foundation work took 45 days with a team of 5 experienced workers and standard equipment. For the current project, you're planning to allocate 6 workers with similar experience and equivalent equipment. The work will be performed under similar conditions. Assuming a linear correlation between the number of workers and the duration, how many days should you estimate for the foundation work to be completed?
Given the linear correlation between the number of workers and the duration, we can apply the concept of proportional adjustment. The original project took 45 days with 5 workers, so with 6 workers, we would expect the duration to decrease proportionally. Therefore, if 5 workers take 45 days, 6 workers would take 5/6 of that time, which is 37.5 days.
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