求A、B两地的距离

  • 时间:2020-06-24 15:27:04
  • 分类:数学世界
  • 阅读:247 次

甲、乙两辆汽车分别从A、B两站同时相向开出,甲的速度是乙的5/6,结果两车在距中点4千米处相遇。求A、B两站的距离。

分析:“甲的速度是乙的5/6”可知两车的速度是乙快甲慢;并且可以把乙车的速度看成6份,甲车的速度看成5份;又因为两车从出发到相遇所用的时间相同,所以它们所行路程的份数也是甲车为5份,乙车为6份,乙车比甲多行1份。

又因为“两车在距中点4千米处相遇”,所以当相遇时,乙车比甲车多行4+4=8(千米),这8千米正好就是前面的1份。所以,两地的距离就是8×(5+6)=88(千米)

相遇图

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