Final answer:
The woman is traveling at a speed of approximately 9.65 mi/hr.
Step-by-step explanation:
To find the speed at which the woman is traveling, we need to convert the rotations per minute (rpm) of the bike wheels to miles per hour (mi/hr).
Step 1: Convert the diameter of the bike wheels from inches to miles. There are 63360 inches in a mile, so the diameter in miles is 26/63360 = 0.00041015625 miles.
Step 2: Calculate the distance traveled in one revolution. The circumference of a circle is given by C = 2πr, where r is the radius. Since the radius is half the diameter, the circumference is C = 2π(d/2) = πd. In this case, the circumference is π(0.00041015625) = 0.00128605308 miles.
Step 3: Calculate the distance traveled in one minute. The distance in one minute is given by multiplying the distance per revolution by the number of revolutions per minute. In this case, it is 0.00128605308 * 125 = 0.160756635 miles.
Step 4: Convert the distance in one minute to miles per hour. There are 60 minutes in an hour, so the distance in one hour is 0.160756635 * 60 = 9.6453981 mi/hr.
Therefore, the woman is traveling at a speed of approximately 9.65 mi/hr.