Question

Lucas ran 9 miles in 3/4 of an hour. He took a break then returned by traveling that same 9 miles in 2/3 of an hour. How many more miles can Lucas run per hour with his new rate?

a) 2.5
b) 3
c) 3.5
d) 4

Answer 1

After calculating the rates for both periods, it turns out that Lucas runs 1.5 mph more in the second period. However, this doesn't match provided options, hinting at a possible mistake in the question.

Step-by-step explanation:

Lucas ran 9 miles in 3/4 of an hour, which means his initial speed was 9 miles / (3/4 hour) = 12 miles per hour. After taking a break, he traveled the same 9 miles in 2/3 of an hour. The new rate of speed can be calculated as 9 miles / (2/3 hour) = 13.5 miles per hour. To find out how many more miles per hour Lucas can run with the new rate, we subtract the initial speed from the new speed: 13.5 mph - 12 mph = 1.5 mph. This does not match any of the options provided; thus, it is possible there may have been a mistake in the question as it stands.