Final answer:
To determine the time it will take for the train to cover 360 miles, we first calculated the average speed of the train using the distance and time provided (150 miles in 2.5 hours), which resulted in 60 miles/hour. Applying this average speed, it would take the train 6 hours to travel 360 miles.
Step-by-step explanation:
To calculate the time it will take for the train to go 360 miles, we first need to find the average speed of the train. We're given that the train goes 150 miles in 2.5 hours. Using the formula for average speed which is distance divided by time, we have:
Average speed = 150 miles / 2.5 hours = 60 miles/hour
Now that we know the average speed of the train, we can find out how long it will take to travel 360 miles. We use the formula:
Time = Distance / Average speed
Time = 360 miles / 60 miles/hour
Time = 6 hours
Therefore, it will take the train 6 hours to travel a distance of 360 miles, assuming that it maintains the same average speed.