### Home > APCALC > Chapter 7 > Lesson 7.1.4 > Problem 7-42

Kimberly and Varag are in a bicycle race. Homework Help ✎

For parts (a) and (b), each is a different application of Mean Value. Pay attention to the given information and read carefully.

See Math Notes below.

If Kimberly’s velocity in miles per hour during the race is

, calculate her average velocity during. Describe your method. Average Velocity = 16.102 mph

If Varag’s distance from the starting line during the race is

, calculate his average velocity during. Describe your method. Average Velocity

mph When is each bicyclist traveling at his/her average velocity?

This is an application of Mean Value Theorem, which states that a function (such as a velocity function) must equal its average value at least once on a closed interval (that is, if the function is continuous and differentiable).

See Math Notes below.