Maths question

来源：百度知道 编辑：UC知道 时间：2024/06/27 15:32:44
If both the hour hand and minute hand start at the same position at 12 o'clock, when is the first time, correct to a fraction of a minute, that the two hands will be together again? How to do this? Thanks!
不是,我也知道一圈后再次重合,但是题目说," when is the first time,".
the answer is 60/11 minutes after 1 o'clock, i just don't know how to get this answer.

一圈后，就再次重合了.

首先肯定是在1-2小时间
时针走的角度即等于分针走的角度减去360度，则X=t*30/60=6t-360n(n=1)
解出来，得：X=720/11
n=其它整数，则可以得出在其它次相遇的时间。