A person riding a Ferris wheel with a diameter of 64 feet travels once around the wheel in 25 seconds. What is the average speed of the rider in miles per hour? (Round your answer to one decimal place.)

distance = pi D in feet

= pi * 64 * (1 mile/5280 ft)

time = 25 s (1 h /3600 s)

divide the distance in miles by the time in hours

To find the average speed of the rider in miles per hour, we need to convert the given information into the appropriate units and use the formula for average speed.

Step 1: Convert the diameter of the Ferris wheel from feet to miles.
- 1 mile = 5280 feet
- Therefore, the diameter of the Ferris wheel in miles is 64/5280 ≈ 0.0121 miles.

Step 2: Determine the circumference of the Ferris wheel.
- The circumference of a circle is given by the formula C = π * D, where C is the circumference and D is the diameter.
- The circumference of the Ferris wheel is 3.14 * 64 ≈ 201.06 feet.

Step 3: Convert the time taken to travel once around the wheel from seconds to hours.
- There are 60 minutes in an hour and 60 seconds in a minute.
- Therefore, 25 seconds is equal to 25/60 = 0.4167 minutes.
- And 0.4167 minutes is equal to 0.4167/60 = 0.0069 hours.

Step 4: Calculate the average speed of the rider in miles per hour.
- Average speed is given by the formula Speed = Distance / Time.
- The distance traveled once around the Ferris wheel is equal to its circumference, which is 201.06 feet or 0.038 miles.
- The time taken is 0.0069 hours.
- So, the average speed is 0.038 miles / 0.0069 hours ≈ 5.5 miles per hour.

Therefore, the average speed of the rider on the Ferris wheel is approximately 5.5 miles per hour.