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.

A curious watch.  In the 60th hour it stands completely still.  In the 61st hour it starts going backwards!  

Posted by Steve Herman on 2016-04-09 08:12:36