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avatar+1351 

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?

 Mar 28, 2024
 #1
avatar+53 
+1

ratio of people: 5/6

ratio of work time: 6/5 = x/x-4

x = 24so 4 days - 25 more people

 Mar 28, 2024
 #2
avatar+128794 
+1

5D =   the man hours for  the first job where D is the number of days

 

6(D  - 4)   = the man hrs if  one additional person is hired

 

Since the man hours are equal

 

5D = 6D - 24

D  = 24

 

5D  = 5 (24)  =   120 man hours

 

So ....let N be the number of  workers needed to complete the job 20 days earlier

 

N ( 24 - 20)   = 120

 

4N  = 120

 

N =  30

 

30  - 5  =  25   additional workers should be hired 

 

cool cool cool

 Mar 29, 2024

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