Question

Julie swam, biked, and ran in a 22.2 mile triathlon. She completed the race in

2.15 hours. The function m = 13.8h represents the miles m Julie biked in

h hours. Was her average speed biking less than or greater than her average

speed for the entire race? Justify your answer. Round to the nearest tenth if

necessary.

Answer 1

Average speed of biking is greater than average speed for the entire race.

Explanation:

Total distance Julie traveled in triathlon = 22.2 miles

Total time taken = 2.15 hours.

We have

Total distance = Average speed x Time taken

22.2 = Average speed x 2.15

Average speed = 10.33 miles per hour.

We also have the function m = 13.8h represents the miles m Julie biked in h hours. This is also similar to

Total distance = Average speed x Time taken

m = 13.8 h

Average speed of biking = 13.8 miles per hour.

Average speed of biking > Average speed for the entire race

Average speed of biking is greater than average speed for the entire race.