Five workers have been hired to complete a job. If one additional worker is hired, they could complete the job $15$ days earlier. If the job needs to be completed $40$ days earlier, how many additional workers should be hired?

LiIIiam0216 May 17, 2024

#1**+1 **

Let x be the days to complete the job in the first case

The amount of work to be done is number of workers * numer of days = 5x

So....in the second case

5x = 6 ( x -15)

5x = 6x - 90

90 = x = the number of days to complete the job in the frst scenario

So

5 * 90 = n (90 - 40) where n is the toal number of workers needed in the last case

450 = 50n

450 / 50 = n = 9

So.... 9 - 5 = 4 additional workers should be hired

CPhill May 17, 2024