Question

Elijah drove 45 miles to his job in an hour and 10 minutes in the morning: True/ False On the way home, however, traffic was much heavier and the same trip took an hour and a half: True/ False What was his average speed in miles per hour for the round trip?

Answer 1

Elijah's average speed for the 90-mile round trip, which took a total of 2.6667 hours, was 33.75 miles per hour.

Step-by-step explanation:

To calculate Elijah's average speed for the round trip, we need to know the total distance traveled and the total time taken. Since he drove 45 miles to work and 45 miles back home, the total distance is 90 miles. For the morning commute, the time taken was 1 hour and 10 minutes (which is 1 + 10/60 hours), and for the evening commute, the time was 1 hour and 30 minutes (which is 1 + 30/60 hours).

Now, let's convert the time to hours:
Morning: 1 + 10/60 = 1.1667 hours
Evening: 1 + 30/60 = 1.5 hours

The total time for the round trip is the sum of the morning and evening commute times, which equals 1.1667 + 1.5 = 2.6667 hours. Therefore, Elijah's average speed for the round trip is calculated by dividing the total distance by the total time:

Average speed = Total distance / Total time
= 90 miles / 2.6667 hours
= 33.75 mph

So, Elijah's average speed for his entire round trip was 33.75 miles per hour.