数学题:何时换轮胎？自行车前轮轮胎寿命5000千米，后轮轮胎寿命3000千米，如果中间将两个轮胎调换一下，使两个轮胎同时坏，请问：何时换？两个轮胎都坏时，自行车最多行多少千米？

数学题解答：用方程解答试试。

设在x千米时换。

(1 – x/5000)÷(1/3000)=(1-x/3000)÷(1/5000)

解这个方程，得x=1875。

答：在行驶了1875千米时更换前后轮胎。

(1 – 1875/5000)÷(1/3000)+1875＝3750(千米)

答：自行车最多行3750千米。

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