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Homework Statement
A particular type of tyre lasts 10,000km on a front wheel or 20,000km on a rear wheel. By interchanging the front and rear tyres, what is the greatest distance that can be traveled by a set of four of these tyres?
The Attempt at a Solution
I couldn't think of a way to solve this logically, so I attempted to use algebra to solve the problem and after lots of guessing at created equations that suits the problem, this is the best I was able to achieve...
let [tex]w_1=d-10000[/tex] and [tex]w_2=d-20000[/tex]
w being the distance left in each tyre, and d being the distance already travelled.
Since the distance traveled must be equal, the variables d but must be equal.
Thus, [tex]w_2-w_1=10000[/tex]
sweet... any help is appreciated