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Watching the Watch (Posted on 2016-04-08) Difficulty: 3 of 5
An electronic 24-hour watch loses time every hour.

In the first hour, it loses exactly 1 minute.

In the second hour, it loses precisely 2 minutes and so on – so that, in general it loses exactly i minutes in the ith hour.

The rate of loss in a given hour remains constant. For example, from the 2nd hour to precisely 20 minutes after the second hour, the watch will lose 1 minute.

Given that the watch started to lose time starting from 00:00:00 (in HH:MM:SS format) on January 1, 2016 – determine the date and time when the watch will lose just over 24 hours.

No Solution Yet Submitted by K Sengupta    
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Piger Clock | Comment 1 of 2
1 day are 1440 minutes
1+2+3+...+n<1440<1+2+3+...n+1
Series A000217 ---> n=53  --->1431 
So after 53 hours the clock losts 1431
In the hour 54 will lost 54 minutes. In 10 minutes of that hour will lost 9 minutes. 

After 53 hours and 10 minutes will lost a day
On Jan 3 2016 at 05:10:00

  Posted by armando on 2016-04-08 10:05:22
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