数学题:哥哥和弟弟进行100米赛跑

  • 时间:2020-06-10 18:35:09
  • 分类:数学世界
  • 阅读:147 次

数学题:哥哥和弟弟进行100米赛跑,当哥哥到达终点时,弟弟才到达95米处。如果弟弟在原处,哥哥后退5米,兄弟两速度不变,最先到达终点的是谁?这时跑得慢的离终点还有多少米?

数学题解答:由“当哥哥到达终点时,弟弟才到达95米处”可知:哥哥与弟弟的速度比是100:95。

由“弟弟在原处,哥哥后退5米”可知第二次赛跑时,弟弟仍然跑100米,但哥哥实际跑的是100+5=105(米)

如果弟弟跑到终点,哥哥跑:100 ÷ 95/100 ≈ 105.26(米),超过了哥哥需要跑的105米,所以哥哥先到。

在哥哥跑到终点时,弟弟跑:105 × 95/100 = 99.75(米)

可见哥哥先到终点。这时弟弟离终点还有:100-99.75=0.25(米)

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