甲乙路程问题

问题描述：

甲、⼄两清洁⻋执⾏ A、B 两地间的公路清扫任务。甲、⼄两⻋单独清扫分别需 2⼩时、3⼩时，两⻋同时从 A、B 两地相向开出，相遇时甲⻋⽐⼄⻋多清扫 6千⽶。A、B 两地相距多少千米

最佳答案：

设ab两地共有x千米

甲每小时扫x÷2千米,乙每小时扫x÷3千米

设相遇时两车扫了t小时

则有(x/2+x/3)×t=x (x/2)×t-(x/3)×t=6

t=6/5小时 x=30千米

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