High School

Train A leaves the station at 1:45, traveling at a constant speed of 65 mph. If it arrives at its destination at 3:15, how many miles did it travel?

a. 97.5 miles
b. 76 miles
c. 32.5 miles
d. 90 miles

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.