It takes Franklin 14 hours to make a 200-square-foot cement patio. It takes Scott 10 hours to make the same size patio. Which equation can be used to find $x$, the number of hours it would take Franklin and Scott to make the patio together?
A$14 x+10 x=200$
B$\frac{1}{14} x-\frac{1}{10} x=1$
C$\frac{1}{14} x+\frac{1}{10} x=1$
D$14 x-10 x=200$
A$14 x+10 x=200$
B$\frac{1}{14} x-\frac{1}{10} x=1$
C$\frac{1}{14} x+\frac{1}{10} x=1$
D$14 x-10 x=200$