Answer: 6 days.
Step-by-step explanation:
Inverse proportion equation has the form:
[tex]y=\frac{k}{x}[/tex]
Where "k" is the constant of proportionality.
Let be "y" the time it takes to do a job (number of days) and "x" the number of workers.
We can find "k" knowing that it takes 3 workers 16 days to finish a job:
[tex]16=\frac{k}{3}\\\\k=16*3\\\\k=48[/tex]
To find how long will it take 8 workers to finish the job, you must substitute the value of "k" and [tex]x=8[/tex] into [tex]y=\frac{k}{x}[/tex]. Then you get:
[tex]y=\frac{48}{8}\\\\y=6[/tex]
