Question

Joe goes running in the park. He runs 3 miles and does it in 42 minutes. How many minutes doe it take him to run a mile? This topic is distance = rate x time

Answer 1

You must use this formula:

`d=rt`

Where "d" is the distance, "r" is the rate and "t" is time.

If you solve for "r":

`r=(d)/(t)`

If you solve for "t":

`t=(d)/(r)`

Knowing that Joe runs 3 mile in 42 minutes, you can find "r". Notice that:

`\begin{gathered} d=3mi \\ t=42\min \end{gathered}`

Then:

`r=(3mi)/(42\min)=0.0714(mi)/(\min)`

Knowing the rate, you can set up the following in order to find the time in minutes it takes Joe to run a mile:

`\begin{gathered} d=1mi \\ r=0.071(mi)/(\min) \end{gathered}`

Substituting values into the formula for calculate the time, you get:

`t=(1\min)/(0.0714(mi)/(\min))=14\min`

The answer is: It takes him 14 minutes to run a mile.