To answer this question, we can set up a proportion. Let's convert the values to fractions first:
[tex] 26\frac{1}{5}=\frac{131}{5} [/tex]
[tex] 5\frac{4}{5}=\frac{29}{5} [/tex]
On the left side will contain the known information, and the right side will contain the unknown - how far you run in an hour:
[tex] \frac{\frac{131}{5}mi}{\frac{29}{5}hr}=\frac{x}{1hr} [/tex]
Then we can cross multiply and solve for x:
[tex] \frac{131}{5}x=\frac{29}{5} [/tex]
Then we can multiply by the reciprocal on the left to cancel out the coefficient and only get x:
[tex] \frac{5}{131}* \frac{131}{5}x=\frac{29}{5} * \frac{5}{131} [/tex]
[tex] x=\frac{29}{131} [/tex]
So now we know that in 1 hour you will run [tex] \frac{29}{131} [/tex] miles or 0.221 miles.
