On an old-fashioned bicycle the front wheel has a radius of 2.5 feet and the back wheel has a radius of 3 inches. If there is no slippage, how many revolutions will the back wheel make while the front wheel makes 100 revolutions?
First, we find how much it takes for the front wheel to make 100 revolutions, and one revolution is the length of the circumference. So we have:
Now, we find the circumference of the back wheel(the length of one revolution for the back wheel), and divide $6000\pi$ by that number to get our answer: