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Five workers have been hired to complete a job. If one additional worker is hired, they could complete the job $8$ days earlier. If the job needs to completed $28$ days earlier, how many additional workers should be hired?

 Aug 26, 2023
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Let the number of days needed for 5 workers to finish the job ==D


5 / 6 ==[D - 8] / D, solve for D


D==48 days - for 5 workers to finish the job.


5 * 48 ==240 - worker-days required


W==additional workers needed


240 / [5 + W] ==48 - 28, solve for W


W==7 - additional workers will be needed


5 + 7 ==12 - total work-force needed

 Aug 27, 2023

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