The Bicycle Problem
A bicycle wheel has a radius of 13 inches. How many revolutions must the wheel make to go 1 mile?

Extensions 
What is the radius of the wheel if you want the bicycle to travel 1 mile after the wheel makes 1000 revolutions?
Suppose you are riding a tall tricycle where the front wheel is larger than the rear wheels. If the large wheel makes 1/7 as many revolutions than the smaller wheels, then what is the radius of each of the wheels if they BOTH made an integral number of revolutions in one mile?
Submit your idea for an investigation to InterMath.
