Question

Linda runs 6 miles in 55 minutes. At the same rate, how many miles would she run in 44 minutes?

Answer 1

4.8

Explanation:

Answer 2

`\boxed {\tt 4.8 \ miles}`

Explanation:

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

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

We know Linda can run 6 miles in 55 minutes.

`(6 \ miles )/(55 \ minutes )= (miles )/(minutes )`

We don't know how many miles she can run in 44 minutes. We can say she runs x miles in 44 minutes.

`(6 \ miles )/(55 \ minutes )= (x \ miles )/(44 \ minutes )`

`(6 )/(55 )= (x )/(44 )`

We want to solve for x(miles in 44 minutes). We must isolate x on one side of the equation.

x is being divided by 44. The inverse of division is multiplication. Multiply both sides of the equation by 44.

`44*(6 )/(55 )= (x )/(44 )*44`

`44*(6 )/(55 )=x`

`44*0.109090909=x`

`4.8=x`

x= 4.8 miles

Linda can run 4.8 miles in 44 minutes.