Answer:
Explanation:
To find the average speed over this time, we can calculate the total distance traveled and the total time taken.
First, let's find the distance traveled during each leg of the journey:
1. During the first leg, the train travels at 40mph for 30 minutes. To find the distance, we convert the time to hours: 30 minutes ÷ 60 = 0.5 hours. The distance traveled during this leg is therefore 40mph × 0.5 hours = 20 miles.
2. During the second leg, the train travels at 40mph for 2 hours, so the distance traveled is 40mph × 2 hours = 80 miles.
Now, let's calculate the total distance traveled: 20 miles + 80 miles = 100 miles.
Next, let's find the total time taken for the entire journey:
1. During the first leg, the train travels for 30 minutes, which is 0.5 hours.
2. During the stop at the station, the train reloads for 1 hour and 30 minutes, which is 1.5 hours.
3. During the second leg, the train travels for 2 hours.
To find the total time taken, we add the times for each leg: 0.5 hours + 1.5 hours + 2 hours = 4 hours.
Now, let's calculate the average speed:
Average speed = total distance ÷ total time = 100 miles ÷ 4 hours = 25 miles per hour.
Therefore, the average speed over this time is 25 mph.