To determine the average speed of the bus, follow these steps:
1. Convert the travel time into hours:
- The bus traveled for 4 hours and 30 minutes.
- Since there are 60 minutes in an hour, 30 minutes is equal to 0.5 hours.
- Therefore, the total travel time in hours is:
4 hours + 0.5 hours = 4.5 hours.
2. Calculate the average speed:
- Average speed is calculated by dividing the total distance traveled by the total time taken.
- The total distance traveled is 183 miles.
- The total time taken is 4.5 hours.
- Using the formula for average speed:
[tex]\[
\text{Average Speed} = \frac{\text{Total Distance}}{\text{Total Time}}
\][/tex]
- Substituting the given values:
[tex]\[
\text{Average Speed} = \frac{183 \text{ miles}}{4.5 \text{ hours}}
\][/tex]
3. Perform the division:
- [tex]\[
\text{Average Speed} = 40.666666666666664 \text{ mph}
\][/tex]
4. Rounding the result:
- The average speed to two decimal places is approximately 40.67 mph.
Thus, the average speed of the bus is closest to 40.67 mph.
The correct answer is:
A. 40.67 mph
