数学题:客车从甲地到乙地要6小时;货车从乙地到甲地要8小时

  • 时间:2020-06-07 17:53:28
  • 分类:数学世界
  • 阅读:144 次

数学题:客车从甲地到乙地要6小时;货车从乙地到甲地要8小时。两车同时分别从两地出发相对开出,相遇时货车行了240km。甲乙俩地相距多少千米?

数学题解答:根据两车行完全程所用的时间可知,客车和货车所用时间的比是6:8,所以客车和货车速度的比是8:6。(为什么呢?因为在路程一定的情况下,速度和时间成反比,也就是速度的比和时间的比是相反的。)

由于两车在相遇时所用的时间也相同的,所以速度的比也是客车和货车所行路程的比。

所以客车行了:240 ÷ 6 × 8=320(千米)

将两车相遇时各自行的路程相加,即得全程。所以全程就是:240+320=560(千米)

答:甲乙两地相距560千米。

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