Question

If you run a marathon of 26 1/5 miles in a time of 5 4/5 how far do you run in 1 hour

Answer 1

To answer this question, we can set up a proportion. Let's convert the values to fractions first:

$26\frac{1}{5}=\frac{131}{5}$

$5\frac{4}{5}=\frac{29}{5}$

On the left side will contain the known information, and the right side will contain the unknown - how far you run in an hour:

$\frac{\frac{131}{5}mi}{\frac{29}{5}hr}=\frac{x}{1hr}$

Then we can cross multiply and solve for x:

$\frac{131}{5}x=\frac{29}{5}$

Then we can multiply by the reciprocal on the left to cancel out the coefficient and only get x:

$\frac{5}{131}* \frac{131}{5}x=\frac{29}{5} * \frac{5}{131}$

$x=\frac{29}{131}$

So now we know that in 1 hour you will run $\frac{29}{131}$ miles or 0.221 miles.