To solve the problem of how many miles the truck driver can drive in one hour given that he has driven 48 miles in 45 minutes, we can follow these logical steps:
1. Convert Time to Hours:
First, we need to convert the time from minutes to hours, since we want to find the distance driven in one hour. We know there are 60 minutes in an hour, so:
[tex]\[
\text{Time in hours} = \frac{45 \text{ minutes}}{60 \text{ minutes per hour}} = 0.75 \text{ hours}
\][/tex]
2. Calculate the Rate in Miles per Hour:
Next, we can determine the rate in miles per hour (mph). The driver drove 48 miles in 0.75 hours. Therefore, the rate can be calculated as:
[tex]\[
\text{Rate} = \frac{48 \text{ miles}}{0.75 \text{ hours}} = 64 \text{ mph}
\][/tex]
3. Determine Miles Driven in One Hour:
Since the rate is 64 miles per hour, in one hour, the driver would drive:
[tex]\[
64 \text{ miles per hour} \times 1 \text{ hour} = 64 \text{ miles}
\][/tex]
Hence, the truck driver can drive 64 miles in one hour at the given rate.
To summarize:
- Time in hours: 0.75 hours.
- Rate of driving: 64 miles per hour.
- Distance traveled in one hour: 64 miles.
