求火车速度和车长

  • 时间:2020-06-13 17:39:14
  • 分类:数学世界
  • 阅读:156 次

一列火车通过200米的大桥用80秒,同样的速度通过144米的大桥用72秒,求火车速度和车长。为什么我们不直接用路程除以时间来求速度,而用路程差和时间差来求速度?(提问:快乐的金)

数学题解答(素心兰):一列火车通过200米的大桥用80秒,走的路程是:车长+桥长;同样的速度通过144米的大桥用72秒,走的路程是:车长+桥长。

两次所走路程相差:200-144=56(米),所用时间相差:80-72=8(秒)。

而速度是相同的,所以可求出速度就是每秒行:56÷8=7(米)

车长的算法有两种:一、72×7-144=360(米);二、80×7-200=360(米)。

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