Given:
The number of teeth = t = 25
The gear is driven by a 10-tooth driver gear (T) at 250 RPM
Let the speed = s
So, using the ratio and proportion
[tex]\frac{25}{s}=\frac{10}{250}[/tex]Solve for s:
[tex]\begin{gathered} 10s=25\cdot250 \\ \\ s=\frac{25\cdot250}{10}=25\cdot25=625 \end{gathered}[/tex]So, the fear will be driven by 625 RP