Question

If Natalie ran 3/5 miles in 1/2 hour, how fast did she run in miles per hour?

Answer 1

Given Rate:

3/5 miles in 1/2 hour

Let's make everything into minutes.

We know 1 hour = 60 minutes, so 1/2 hour = 30 minutes.

Thus,

Given,

3/5th mile in 30 minutes

Let's figure out the number of miles per minute. For that, we divide 3/5 by 30, so we have:

`\begin{gathered} ((3)/(5))/(30) \\ =(3)/(5)*(1)/(30) \\ =(3)/(150) \\ =(1)/(50)\text{miles per minute} \end{gathered}`

Now, its very simple to find the rate in miles per hour. We know 1 hour is 60 minutes, thus we multiply it by 60:

`\begin{gathered} (1)/(50)*60 \\ =(60)/(50) \\ =(6)/(5)\text{miles per 60 minutes, or miles per hour} \end{gathered}`

The correct answer is:

`(6)/(5)\text{miles per hour}`

or,

1 and 1/5th miles per hour