Drive how far?
Tires on Emma's car last 18,000 miles on the front or 22,000 miles on the back. She has a new set of 5 tires (including the spare) that she intends to rotate so they can all be replaced at the same time.
How far can she drive with 5 tires? (furthest distance, in miles)
The answer is 24750.
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1 solution
x = Furthest distance, in miles
1 = Amount of tread per tire, or amount of usable tire material per tire
Then,
(x)(1 / 22,000) + (x)(1 / 22,000) + (x)(1 / 18,000) + (x)(1 / 18,000) = 5
--- Simplify ---
x = 24,750 miles