Question

Abdul runs 6 miles in 50 minutes. At the same rate, how many miles would he run in 35 minutes

Answer 1

`\boxed {\tt 4.2 \ miles}`

Explanation:

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

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

We know Abdul can run 6 miles in 50 minutes.

`(6 \ miles)/(50 \ minutes)= (miles)/(minutes)`

We don't know how many miles he can run in 35 minutes. Therefore, she can run x miles in 35 minutes.

`(6 \ miles)/(50 \ minutes)= (x \ miles)/(35 \ minutes)`

`(6 )/(50 )= (x )/(35 )`

We want to solve for x ( miles ran in 35 minutes). We must isolate x on one side of the proportion. x is being divided by 35 and the inverse of division is multiplication. Multiply both sides of the proportion by 35.

`35*(6 )/(50 )= (x )/(35 )*35`

`35*(6 )/(50 )= x`

`35*0.12=x`

`4.2=x`

x=4.2 miles

He can run 4.2 miles in 35 minutes.