The minute and the hour hand of a watch meet every 65 minutes.
How much time does the watch lose or gain ?
The minute hand will catch the hour hand every hour plus a few minutes. This will happen 11 times in 12 rotations.
If one meeting takes place every 65 minutes, then 11 meetings take place in 65*11 = 715 minutes. So the watch shows 720 minutes elapsing in every 715 minutes. This is a gain of 1 part in 143.
For one hour:
3600 sec/143 = 27.175 seconds gained per hour
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Posted by Leming
on 2006-02-13 09:32:36 |