Question

Savannah walked 2/7 of a mile in 2/5 of an hour what is her unit rate in miles per hour?

Answer 1

We can setup a simple ratio and solve this problem.

We can say:

2/7 miles to 2/5 hr MEANS how many miles per 1 hour???

Let's call the unknown "x", so we can write the ratio as:

`((2)/(7))/((2)/(5))=(x)/(1)`

Now, we cross multiply and solve for x:

`\begin{gathered} ((2)/(7))/((2)/(5))=(x)/(1) \\ x\cdot(2)/(5)=1\cdot(2)/(7) \\ (2)/(5)x=(2)/(7) \\ x=((2)/(7))/((2)/(5)) \\ x=(2)/(7)\cdot(5)/(2) \\ x=(5)/(7) \end{gathered}`

So, unit rate is 5/7 miles per hour.