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avatar+769 

Five workers have been hired to complete a job. If one additional worker is hired, they could complete the job $4$ days earlier. If the job needs to be completed $20$ days earlier, how many additional workers should be hired?

 Aug 19, 2024
 #1
avatar+8 
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x=additonal workers that need to be hired.

 

To complete the job 20 days earlier: 4x

 

x=20/4=5

 

 

5 additional workers should be hired.

 Aug 19, 2024
 #2
avatar+37147 
+1

Given 

J/5 = D     or  5D = J 

  and 

J/ (5+1) = D - 4     Sub in '5D' for 'J'

5D / 6 = D- 4 

shows D = 24  days 

 

   24 days x 5 workers = 120 Worker Days for the job 

    if you have 6 workers it will take   120/ 6 = 20 Days     (which is FOUR days less...Check !) 

 

Now ....how many workers to get the job done in  only  FOUR days  ( which is 20 days earlier) 

 

120 Worker Days / 4 Days =   30 workers needed         or    hire 25 ADDITIOANL workers to add to the original five 

 Aug 19, 2024

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