Final answer:
James, traveling to Delaware at 75 miles per hour over a distance of 70 miles, will take about 56 minutes to complete his journey. The average speed is a measure of total distance over total time and is directly applicable to James's trip. In the given reference scenario, a commuter train's average speed can also be calculated and represented in meters per second.
Step-by-step explanation:
Calculating Travel Time
If James drives at 75 miles per hour between Baltimore and Delaware, which are 70 miles apart, the time it takes to complete the trip can be found using the formula Time = Distance ÷ Speed. Plugging in the values gives us Time = 70 miles ÷ 75 miles per hour. This simplifies to 0.9333 hours. Since there are 60 minutes in an hour, we multiply 0.9333 by 60 to find the time in minutes, giving us approximately 56 minutes to travel from Baltimore to Delaware.
Understanding Average Speed and Velocity
The question provides a reference scenario where a commuter train travels 40 miles each way between Baltimore and Washington, DC. The average velocity would be 0 since the train returns to the starting point, but this is different from average speed which is concerned with total distance divided by total time. For the train travelling a total of 80 miles in 1 hour and 45 minutes, the average speed in miles per hour can be calculated and then converted to meters per second (m/s).
Using these concepts, we can understand that James's average speed on his journey to Delaware is 75 miles per hour since it is a straightforward trip without a return leg.