A nerdy mathematician was riding his Segway in a circle when he realized his outer wheel was traveling twice as fast as his inner wheel. If the wheels are 20″ apart, what was the diameter of the outer wheel's track?
For the outer wheel to go twice as fast as the inner, the circumference of the outer track must be twice that of the inner track. A circular track's circumference is directly proportional to its radius. We know that the distance between the inner and outer tracks is 20″, therefore for the outer radius to be twice the inner radius, the inner radius must also be 20″.20″ + 20″ = 40″ radius for the outer track, or 80″ diameter.
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