Question

A truck driver starts driving his truck at 2:00 and drives for 45 minutes at 45 miles per hour. 3. at what time will he have traveled 30 miles? 4. what is his speed in miles per minute?

Answer 1

If you travel at a constant speed, you follow this formula:

`s = vt`

where s is the space traveled, v is the speed and t is the time passed. Knowing the speed and the desired space, we can solve the equation for the time:

`t = (s)/(v)`

Plug your values:

`t = (30)/(45) = (2)/(3)`

And two-thirds of an hour are 40 minutes.

To convert his speed in miles per minutes, you only need to use that one hour is composed of 60 minutes:

`\frac{45 \text{ miles}}{1\text{ hour}} = \frac{45 \text{ miles}}{60\text{ minutes}} = \frac{3 \text{ miles}}{4 \text{ minutes}} = 0.75` miles per minute