Of course, let's address the question involving the calculation of distance, speed, and time step-by-step.
### Problem Statement
You are given a situation where you need to determine the time traveled given the speed and distance.
### Given:
- Speed, [tex]\( r \)[/tex] = 60 miles per hour (mph)
- Distance, [tex]\( D \)[/tex] = 180 miles
### Formula:
To find the time, [tex]\( t \)[/tex], we use the formula:
[tex]\[ t = \frac{D}{r} \][/tex]
Where:
- [tex]\( t \)[/tex] is the time traveled
- [tex]\( D \)[/tex] is the distance
- [tex]\( r \)[/tex] is the speed (or rate)
### Step-by-Step Solution:
1. Identify the given values:
- Speed, [tex]\( r \)[/tex] = 60 mph
- Distance, [tex]\( D \)[/tex] = 180 miles
2. Use the formula to calculate time:
[tex]\[
t = \frac{D}{r}
\][/tex]
3. Substitute the given values into the formula:
[tex]\[
t = \frac{180 \text{ miles}}{60 \text{ mph}}
\][/tex]
4. Calculate the value:
[tex]\[
t = 3 \text{ hours}
\][/tex]
### Conclusion:
Thus, if you travel at a speed of 60 miles per hour for a distance of 180 miles, the time traveled will be 3 hours.
Summary:
- Speed: 60 mph
- Distance: 180 miles
- Time Traveled: 3.0 hours
