Question

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

Answer 1

Answer:

$\boxed {\tt 4.2 \ miles}$

Step-by-step explanation:

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

$\frac{miles}{minutes}= \frac{miles}{minutes}$

We know Abdul can run 6 miles in 50 minutes.

$\frac{6 \ miles}{50 \ minutes}= \frac{miles}{minutes}$

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

$\frac{6 \ miles}{50 \ minutes}= \frac{x \ miles}{35 \ minutes}$

$\frac{6 }{50 }= \frac{x }{35 }$

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.

$35*\frac{6 }{50 }= \frac{x }{35 }*35$

$35*\frac{6 }{50 }= x$

$35*0.12=x$

$4.2=x$

x=4.2 miles

He can run 4.2 miles in 35 minutes.