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?

Question

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?

Bot GPT 3.5 · Answer

Let the number of workers that are needed to complete the job in $40$ days be $x$. Thus, $5x$ workers can complete the job in $40$ days. Furthermore, $$ (x + 1)\cdot 25 = 200. $$ Simplifying, we find $$ x+1 = 8 \Rightarrow x = 7, $$ so $7$ additional workers are needed.

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?

Let the number of workers that are needed to complete the job in $40$ days be $x$. Thus, $5x$ workers can complete the job in $40$ days. Furthermore, \[