Final answer:
The question cannot be answered without more information about the train's route and schedule. However, for the average speed calculation of a different scenario provided in the subtext, a train traveling an 80-mile round trip in 1 hour and 45 minutes has an average speed of approximately 20.44 m/s.
Step-by-step explanation:
The fastest distance in miles that the train is located from the station at any time depends on the specifics of the train's route and schedule, which are not provided in the question subtext. Without additional information about the maximum speed reached or specific distances at various times during the trip, we cannot determine the correct answer to this question. However, we can address a related question found in the subtext regarding the average speed of a commuter train traveling round trip from Baltimore to Washington, DC and back in 1 hour and 45 minutes.
We have been given that the round trip distance is 80 miles (40 miles one way and 40 miles back). To find the average speed of the train, we would divide the total distance traveled (80 miles) by the total time of the journey. To express the average speed in meters per second (m/s), we need to convert miles to meters and hours to seconds.
Here is the step-by-step calculation:
- Convert 80 miles to meters: 80 miles * 1,609.34 meters/mile = 128,747.2 meters.
- Convert 1 hour and 45 minutes to seconds: (1 hour * 60 minutes/hour + 45 minutes) * 60 seconds/minute = 6,300 seconds.
- Divide the total distance by the total time to get the average speed: 128,747.2 meters / 6,300 seconds ≈ 20.44 m/s.
Therefore, the average speed of the train is approximately 20.44 meters per second.