Asked by Tanya

Dana rode her bicycle 600 miles one summer before she had to replace the tire on her front wheel. The diameter of the front wheel is 24 inches. What is the best estimate of the number of revolutions made by the tire before it had to be replaced?
Answered by Steve
you know the circumference of the tire is 24pi or 75.4 inches.

So, figure out how many inches there are in 600 miles, and divide that by 75.4

That's how many times the tire went around.
Answered by Tanya
I need to convert this correct. I think that's my biggest issue. Since the diameter is in inches and the distance is in miles, wouldn't I have to convert the miles into inches?
Answered by Steve
well, yes, as I said. So, just work it out:

600 mi * 5280ft/mi * 12in/ft = 38,016,000 in

Note how the units cancel, leaving you with just inches.
Answered by Tanya
Sorry. I think I was reading too fast and missed that. Thank you.
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