Question

Maya runs 7 miles in 80 minutes. At the same rate, how many miles would she run in 64 minutes?

Answer 1

5.6 miles

Explanation:

Let's set up a proportion using the following setup.

`(miles )/(minutes)=(miles )/(minutes)`

We know Maya can run 7 miles in 80 minutes.

`(7miles )/(80minutes)=(miles )/(minutes)`

We don't know how many miles she can run in 64 minutes. Let's say she can run x miles in 64 minutes.

`(7miles )/(80minutes)=(x miles )/(64 minutes)`

`(7)/(80)=(x)/(64)`

We want to solve for x (miles in 64 minutes). Therefore, we must isolate x on one side of the equation.

x is being divided by 64. The inverse of division is multiplication. Multiply both sides of the equation by 64.

`64*(7)/(80)=(x)/(64)*64`

`64*(7)/(80)=x`

`64*0.0875=x`

`5.6=x`

`x= 5.6 miles`

Maya can run 5.6 miles in 64 minutes.

Answer 2

5.6 miles.

Explanation:

7/80=x/64 is our equation

Cross multiply to solve for x

x=7*64/80

x=5.6mi

Hope this helps ^-^