When running a half marathon (13.1 miles), it took Aidan 7 minutes to run from mile marker 1 to mile marker 2, and 20 minutes to run from mile marker 2 to mile marker 4. a. How long did it take Aidan to run from mile marker 1 to mile marker 4? minutes Preview b. What was Aidan's average speed as he ran from mile marker 1 to mile marker 4? miles per minute Preview c. 70 minutes after starting the race, Aidan passed mile marker 9. To complete the race in 115 minutes, what average speed must Aidan run at between mile marker 9 and the end of the race? miles per minute Preview Submit

a) 27 minutes

b) (1/9) miles per minute = 0.1111 miles per minute

c) 0.0911 miles per minute

Step-by-step explanation:

a) How long did it take Aidan to run from mile marker 1 to mile marker 4?

This is just the sum of the time it took Aidan to run from mile marker 1 to mile marker 4 = 7 + 20 = 27 minutes.

b) Average speed = (Total distance travelled)/(Total time taken)

Distance from mile marker 1 to mile marker 4 = 3 miles

Total time taken = 27 minutes

Average speed = 3/27 = 0.1111 miles/minute

c) Average speed = (Total distance travelled)/(Total time taken)

Total distance between mile marker 9 and the end of the race = 13.1 - 9 = 4.1 miles

Time left out of 115 minutes to complete the race and after spending 70 minutes to reach mile 9 = 115 - 70 = 45 minutes

Average speed required for the final phase to finish the half-marathon in 115 minutes = 4.1/45 = 0.0911 miles/minute

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