In bicycling for aerobic exercise, a woman wants her heart

Chapter 5, Problem 5.85

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In bicycling for aerobic exercise, a woman wants her heart rate to be between 136 and 166 beats per minute. Assume that her heart rate is directly proportional to her mechanical power output. Ignore all forces on the woman-plusbicycle system, except for static friction forward on the drive wheel of the bicycle and an air resistance force proportional to the square of the bicyclers speed. When her speed is 22.0 km/h, her heart rate is 90.0 beats per minute. In what range should her speed be so that her heart rate will be in the range she wants?

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