Question

Steven can run 1 2/3 miles in 10 minutes. Thomas can run 3 2/3 miles in 25 minutes. Mikey can run 5 2/3 miles in one hour. At those rates, how many miles can Steven run in 1 hour?

Answer 1

We note that Steven can run 1 2/3 miles in 10 minutes and we would like to know how many miles can he run in one hour.

To do this we apply the rule of three, but first we would like to express the miles in decimal form. Then

`1\text{ 2/3=5/3}`

So, Steven runs 5/3 miles in 10 minuts, which is the same as 1.67 miles.

Once we have the miles express in decimal form we apply the rule of three

`\begin{gathered} 1.67\rightarrow10 \\ x\rightarrow60 \end{gathered}`

Then, the number of miles that Steven runs in one hour is

`\begin{gathered} x=((60)(1.67))/(10) \\ =(100.2)/(10) \\ =10.02 \end{gathered}`

So Steven runs 10.02 miles in one hour.