数学题:山路有多长

  • 时间:2020-05-01 11:23:54
  • 分类:数学世界
  • 阅读:98 次

数学题:甲乙两地相距420千米,其中部分是山路,另一部分是平路,汽车从甲地开往乙地,共用了8小时,在山路上行驶的速度是每小时40千米,而在平路上的速度是每小时60千米,山路有多长?

数学题解答:此题可尝试用方程解答,设山路长度为x千米。

x÷40 + (420-x)÷60=8

若不会解答这个方程,可以改设在山路上行驶了x小时,列出另一个方程。

40x + 60(8-x) = 420

40x + 60×8 – 60x =420

480 – 20x = 420

20x =60

x=3

山路的长度:40×3=120(千米)

答:山路有120千米长。

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