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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?

 Jan 14, 2024

Best Answer 

 #1
avatar+37147 
+1

Job / 5     = number of worker_days required

job / ( 5 +1)  = job/5  - 8 

job = 6 job/ 5 - 48 

-1/5 job = -48 

job = 240 worker_days   <==== so it takes   5 workers   48 days 

                 to complete in 20 days ( 28 days earlier) 

                        240 worker _ days / x = 20 

                             x = 12 workers required      you will need to hire an dditional 7 workers over the original 5 

 Jan 14, 2024
 #1
avatar+37147 
+1
Best Answer

Job / 5     = number of worker_days required

job / ( 5 +1)  = job/5  - 8 

job = 6 job/ 5 - 48 

-1/5 job = -48 

job = 240 worker_days   <==== so it takes   5 workers   48 days 

                 to complete in 20 days ( 28 days earlier) 

                        240 worker _ days / x = 20 

                             x = 12 workers required      you will need to hire an dditional 7 workers over the original 5 

ElectricPavlov Jan 14, 2024

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