Answer :
Final answer:
Train A traveled for 1.5 hours at a speed of 65 mph, which equals a distance of 97.5 miles. Therefore, the correct answer is (a) 97.5 miles.
Explanation:
The train traveled at a constant speed of 65 mph for 1 hour and 30 minutes (3:15 - 1:45 = 1 hour and 30 minutes). To calculate the distance, we can use the formula Distance = Speed * Time. Converting 1 hour and 30 minutes to hours, we have 1.5 hours. So, the distance traveled by the train is 65 mph * 1.5 hours = 97.5 miles.
If Train A leaves the station at 1:45 and arrives at its destination at 3:15, we need to calculate the total travel time before we can determine the distance traveled. The time from 1:45 to 3:15 is 1 hour and 30 minutes, which is equivalent to 1.5 hours. Next, we use the formula distance = speed × time to find the distance. As the train travels at a constant speed of 65 mph, we can calculate the distance traveled as follows:
Distance = Speed × Time
Distance = 65 mph × 1.5 hours
Distance = 97.5 miles
The answer is (a) 97.5 miles.