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":

$r=\frac{d}{t}$

If you solve for "t":

$t=\frac{d}{r}$

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:

$r=\frac{3mi}{42\min}=0.0714\frac{mi}{\min}$

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

$\begin{gathered} d=1mi \\ r=0.071\frac{mi}{\min} \end{gathered}$

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

$t=\frac{1\min}{0.0714\frac{mi}{\min}}=14\min$

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