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?

LiIIiam0216 Mar 28, 2024

#1**+1 **

ratio of people: 5/6

ratio of work time: 6/5 = x/x-4

x = 24so 4 days - 25 more people

Iwillsueyou69420 Mar 28, 2024

#2**+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

CPhill Mar 29, 2024