To determine Nathan's average speed, we need to calculate how many miles he drove per hour over the course of his journey.
Here is a step-by-step solution for this problem:
1. Identify the given values:
- Total distance driven: [tex]\(232\)[/tex] miles.
- Total time spent driving: [tex]\(8\)[/tex] hours.
2. Understand the formula for average speed:
[tex]\[
\text{Average speed} = \frac{\text{Total distance}}{\text{Total time}}
\][/tex]
3. Substitute the known values into the formula and solve for average speed:
[tex]\[
\text{Average speed} = \frac{232 \, \text{miles}}{8 \, \text{hours}}
\][/tex]
4. Perform the division:
[tex]\[
\text{Average speed} = 29 \, \text{miles per hour}
\][/tex]
Thus, Nathan's average speed was [tex]\(29\)[/tex] miles per hour.
