Final answer:
To find the arrival time in Austin, divide the distance of 190 miles by the speed of 54.3 miles/hour, yielding approximately 3.5 hours of travel time. Adding this to the 6:00 am departure time gives an arrival time of around 9:30 am.
Step-by-step explanation:
To calculate the arrival time of the bus in Austin, we will use the formula for time which is Time = Distance ÷ Speed. Given that the distance between Houston and Austin is 190 miles and the bus travels at a constant speed of 54.3 miles/hour, we can calculate the time it takes to travel this distance.
The time it will take the bus to travel from Houston to Austin is calculated as follows:
- Time = Distance ÷ Speed
- Time = 190 miles ÷ 54.3 miles/hour
- Time = 3.5 hours approximately
If the bus leaves at 6:00 am and takes approximately 3.5 hours, the estimated arrival time in Austin would be:
- 6:00 am + 3.5 hours = 9:30 am
Therefore, the correct answer is (c) 9:30 am.