Question

A truck traveled 205 miles in 3 1/2 hours. The distance is the product of the rate and the time. To the nearest tenth, what is the average speed of the delivery truck? Enter your answer in the box. ____ miles per hour

Answer 1

58.6

Explanation:

So the truck traveled 205 miles in 3.5 hours.

As given, the distance is the product of the rate and the time. In other words:

`d\text{ mi}=r\cdot t\text{ hours}`

Substitute 205 for d and 3.5 for t. Thus:

`205\text{ mi} =r\cdot (3.5)\text{hours}`

Divide both sides by 3.5 hours. Thus:

`r=\frac{205\text{ mi}}{3.5\text{ hours}}`

Divide 205 and 3.5:

`r\approx58.6\text{ mi/hr}`

Answer 2

58.6 miles / hour

Explanation:

The formula is

d= rt where d is the distance, r is the rate ( speed) and t is the time

205 miles = r * 3.5 hours

Divide each side by 3.5

205 miles/ 3.5 hours = r

58.57142857 miles / hour = r

To the nearest tenth

58.6 miles / hour