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# Rate problem

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+1733

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

#1
+36965
+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
+36965
+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

ElectricPavlov Jan 14, 2024