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Five workers have been hired to complete a job.  If one additional worker is hired, they could complete the job $15$ days earlier.  If the job needs to be completed $40$ days earlier, how many additional workers should be hired?

 Oct 24, 2023
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5 workers * x days      <====== are needed  to complete the job 

   Add 1 worker and 15 less days are required : 

6 workers * (x-15) = 5 * x 

6x - 90 = 5x 

x =90 days for 5 workers to complete the job 

 

so 5 workers * 90 days = 450 worker days required for the job 

 

450 worker days / w  =  90 - 40  days 

w = workers needed = 450 / 50 =  9 workers needed      or   4 additional workers above the original number of 5 

 Oct 24, 2023

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