Question

Ashley 5/8 Mile and 4 minutes and 30 seconds Joshua is 3/4 miles and 5 minutes and 15 seconds explain how you can tell who is faster runner

Answer 1

4 minutes and 30 seconds is equivalent to 4 1/2 minutes = (4*2+1)/2 = 9/2 minutes

5 minutes and 15 seconds is equivalent to 5 1/4 minutes = (5*4+1)/4 = 21/4 minutes

We have to find how many minutes Ashley runs 1 mile. To do it, we can use the next proportion:

$\frac{\frac{5}{8}miles}{1\text{ mile}}=\frac{\frac{9}{2}\text{ minutes}}{x\min utes}$

solving for x

$\begin{gathered} \frac{5}{8}\cdot x=\frac{9}{2}\cdot1 \\ x=\frac{9}{2}\cdot\frac{8}{5} \\ x=\frac{36}{5}\text{ minuntes} \end{gathered}$

In the case of Joshua:

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