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{(5)/(8)miles}{1\text{ mile}}=\frac{(9)/(2)\text{ minutes}}{x\min utes}`

solving for x

`\begin{gathered} (5)/(8)\cdot x=(9)/(2)\cdot1 \\ x=(9)/(2)\cdot(8)/(5) \\ x=(36)/(5)\text{ minuntes} \end{gathered}`

In the case of Joshua: