Question

Distance travelled = rate (or speed) * time.If Matt drives 120 miles at a constant speed of 80 mph. How long will it take?' (Be sure to includeunits.)Answer (number then units):

Answer 1

1.5 hours

Explanation

Step 1

Let

$\begin{gathered} d=\text{ v}\cdot t \\ \text{where} \\ d\text{ is the distance traveled} \\ v=\text{ rate (or sp}eed)\text{ = 80}\frac{mi}{h} \\ x=\text{ 120 miles} \end{gathered}$

now, replace in the formula

$\begin{gathered} d=\text{ v}\cdot t \\ 120\text{ miles= 80}\frac{mi}{h}\cdot t \\ \text{divide both sides by 80}\frac{mi}{h} \\ \frac{120\text{ miles}}{\text{80}\frac{mi}{h}}\text{= }\frac{\text{80}\frac{mi}{h}\cdot t}{\text{80}\frac{mi}{h}} \\ 1.5\text{ hours= t} \end{gathered}$

therefore, the answer is

1.5 hours

I hope this helps you