数学题:东西南北两条路交叉成直角
- 时间:2020-06-10 18:35:09
- 分类:数学世界
- 阅读:79 次
数学题:东西、南北两条路交叉成直角,甲距路中心1500米,乙在路中心,甲由南向北,乙由西向东,同时行走。5分钟后,甲尚未走到路口,两人离路口的距离相等,又走45分钟后两人离路口又一样。甲乙两人每分钟各行多少米?
数学题解答:这题需要求两个未知数,可以尝试用方程解。
设甲的速度是每分钟走x米,乙的速度可以表示为(1500-5x)÷5。
根据“又走45分钟后两人离路口又一样”来列方程。一共走了:45+5=50(分钟)
50x – 1500 = (1500-5x)÷5 ×50
50x -1500 = 15000 – 50x
100x = 16500
x=165
乙的速度:(1500-165×5)÷5=135。
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