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The formula for distance traveled is given by

[tex]\[ D = rt \][/tex]

where [tex]\( D \)[/tex] is the total distance, [tex]\( r \)[/tex] is the rate (or speed), and [tex]\( t \)[/tex] is the time.

Rearrange the equation to solve for [tex]\( r \)[/tex]:

[tex]\[ r = \frac{D}{t} \][/tex]

Sagot :

GinnyAnsweridn
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
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