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Three clocks

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楼主
发表于 2004-11-4 22:58:29 | 只看该作者 回帖奖励 |倒序浏览 |阅读模式

Gomzi has 3 timepieces in his house - a wall clock, an alarm clock and a wristwatch. The wristwatch is always accurate, whereas the wall clock gains 2 minutes everyday and the alarm clock loses 2 minutes everyday.

At exactly midnight last night, all three watches were showing the same time.

If today is 25 July 2003, then on which date all three clocks will show the same time again?
www.ddhw.com

 
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沙发
发表于 2004-11-5 08:31:18 | 只看该作者

answer


July 18, 2004www.ddhw.com
 
total minutes of a day: 60x24 = 1440
since next time 3 clocks gonna meet is gonna be midnoon.
so 1440 / 2 / 2 = 360 days.
since year of 2004 is an even year.
then its gonna be july 18th :D
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板凳
 楼主| 发表于 2004-11-5 09:16:02 | 只看该作者

Good analysis.


One thing, the alarm clock should tell the difference between AM and PM. So, it should take 1440/2=720 days for the three clock to meet again. Is that right?
www.ddhw.com

 
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