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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?

 May 17, 2024
 #1
avatar+129503 
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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

 

cool cool cool

 May 17, 2024

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