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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

Sagot :

You must use this formula:

[tex]d=rt[/tex]

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

If you solve for "r":

[tex]r=\frac{d}{t}[/tex]

If you solve for "t":

[tex]t=\frac{d}{r}[/tex]

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

[tex]\begin{gathered} d=3mi \\ t=42\min \end{gathered}[/tex]

Then:

[tex]r=\frac{3mi}{42\min}=0.0714\frac{mi}{\min}[/tex]

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

[tex]\begin{gathered} d=1mi \\ r=0.071\frac{mi}{\min} \end{gathered}[/tex]

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

[tex]t=\frac{1\min}{0.0714\frac{mi}{\min}}=14\min [/tex]

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