Mario walked at a rate of 2/3 miles every 10 minutes what is his unit rate every mile per hour

Mathematics

1 answer:

AnnZ [12.3K]1 month ago

5 0

Mario has a unit rate of 900 miles/hour.

Explanation:

It is given that Mario travels at a rate of 2/3 miles every 10 minutes.

We use the relation between speed, time, and distance, described by

$\text{Speed}= \frac{\text{Distance}}{\text{Time}}$

We have,

Distance = $\frac{2}{3} \text{ miles}$

Time = 10 minutes

By substituting these values into the preceding formula, we get

$\text{Speed} = \frac{2/3}{10}\\\\ \text{Speed} =\frac{2}{10\cdot 3}\\\\ \text{Speed} =[tex]\frac{1}{15}$ \text{ miles/min}[/tex]

To express the unit rate in miles per hour, we must multiply by 60.

Thus, the resulting unit rate is

$\frac{1}{15} \times 60\\ = 4 \text{ miles/hour}$

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