How many times a day does a clock’s hands overlap?

版权声明：本文为博主原创文章，未经博主允许不得转载。 https://blog.csdn.net/weixin_42187898/article/details/84110664

Obviously, it is less than 24 times.

per hour, hour hands run 5 blocks.(1/12 lap)
per hour, minute hands run 60 blocks.(1 lap)

so diff is 55 blocks per hour.(11/12 lap)

and a day has 24 hours, so in 24 hours , this relative speed can run 24 * 55 blocks.

so times= to round = mod(24*55/60) = 22

or to round = mod(24*11/12) =22, based on per lap.

显然，它不到24次。

每小时，时针跑5个街区。（1/12圈）
每小时，分针跑60个街区。（1圈）

所以差异是每小时55个街区。（11/12圈）

而且一天有24小时，所以在24小时内，这个相对速度可以跑24 * 55块。

所以times = to round = mod（24 * 55/60）= 22

或以圆圈= mod（24 * 11/12）= 22，基于每圈。