求AB两站的路程

  • 时间:2020-05-20 15:28:23
  • 分类:数学世界
  • 阅读:144 次

数学题:客车和货车分别从A B两站同时相向开出,5小时后相遇。相遇后,两车仍按原速度前进,当他们相距196千米时,货车行了全程的80%,客车已行的路程与未行的路程比是3:2,求AB两站的路程。这个谁会?

数学题解答:“客车已行的路程也未行的路之比是3:2”,说明客车已行全程的3÷(3+2)=3/5,与货车行的80%加起来比全程多了:3/5 + 80% – 1 =40%。

而两车现在的距离就是全程的40%,所以全程是:

196 ÷ 40% =490(千米)

答:AB两站的路程是490千米。

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