To determine how many miles the truck driver can drive in one hour, we first need to calculate their speed in miles per hour (mph). Follow these steps:
1. Identify the distance covered: The truck driver drove 48 miles.
2. Identify the time taken: The driving time was 45 minutes.
3. Convert the time from minutes to hours:
- Since there are 60 minutes in an hour, we convert 45 minutes into hours by dividing by 60.
[tex]\[
\text{Time in hours} = \frac{45 \text{ minutes}}{60 \text{ minutes/hour}} = 0.75 \text{ hours}
\][/tex]
4. Calculate the speed in miles per hour (mph):
- Speed is calculated as distance divided by time.
[tex]\[
\text{Speed (mph)} = \frac{\text{Distance}}{\text{Time}} = \frac{48 \text{ miles}}{0.75 \text{ hours}} = 64 \text{ mph}
\][/tex]
5. Determine the distance traveled in one hour:
- If the truck is driving at a speed of 64 mph, then the distance covered in one hour is simply the speed itself, because speed is already defined as distance per hour.
[tex]\[
\text{Distance in one hour} = 64 \text{ miles}
\][/tex]
So, at this rate, the truck driver can drive 64 miles in one hour.
