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58问答库 > 从时针指向“4”，分针指向“12”开始，至少经过多少分钟，分针和时针重合？

从时针指向“4”，分针指向“12”开始，至少经过多少分钟，分针和时针重合？

2025-03-30 15:36:35

推荐回答（2个）

回答（1）：

30×4÷（6-0.5）
=120÷5.5
=240/11
=21又9/11分

回答（2）：

时针走一圈(360度)要12小时,即速度为360度/12小时=360度/(12*60)分钟=0.5度/分钟,
分针走一圈(360度)要1小时,即速度为360度/1小时=360度/60分钟=6度/分钟,
钟面(360度)被平均分成了12等份,所以每份(相邻两个数字之间)是30度,
所以X分钟后,时针走过的角度为0.5X度,分针走过的角度为6X度,
设过X分钟后时针与分针第一次重合,
则有4*30+0.5X=6X,
所以5.5X=120,
所以X=24/11,
即时钟指向4点整,过了240/11分钟,时针与分针第一次重合.

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