This problem will be using inverse equations, which use the following formula:
[tex]x \times y = k[/tex]
x and y are your variables, and k is the constant value that x and y must multiply to.
It takes 15 workers 7 hours to complete the job. Multiply these values to find k:
[tex]15 \times 7 = 105[/tex]
[tex]k = 105[/tex]
We have 35 workers, but we are missing the variable for hours. Plug in the amount of workers:
[tex]35y = 105[/tex]
Divide both sides by 35 to get y by itself:
[tex]y = 3[/tex]
It will take 35 workers 3 hours to finish the job.
