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What's the Correct Time?

Math brain teasers require computations to solve.

 

Puzzle ID:#29353
Fun:*** (2.71)
Difficulty:*** (2.25)
Category:Math
Submitted By:DrawA****
Corrected By:boodler

 

 

 



I recently gave a new watch to my friend for their birthday. However, as usual with my presents, it was quite useless, as it gains 6 minutes every hour. I set it using my own accurate clock at midnight, and the watch now shows 8:26 am. I know that it stopped 30 minutes ago, so what is the correct time now?

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Comments

doghouse270**
Mar 27, 2006

didn't get it but was cool anyway
AZTTT**
Mar 27, 2006

That was fun, thanks! good one! It can also be solved by adding the new watch's equivalent of 30 minutes (33) to the NW time and solving for a current NW 'time' of 8:59.
OldChinaHand**
Mar 27, 2006

It took a while but it worked out. Good one.
zonarita*us*
Apr 19, 2006

Draw I don't usually like, or even do, the math teasers. This one was fun and you did a very good job explaining to us non math people how to get the right answer - thanks!
RRAMMOHAN*in*
Jun 03, 2006

Nice and interesting. Got it!
javaguru*us*
Jan 27, 2009

To make the solution a bit clearer for others: the watch is running at 66/60 = 11/10 normal speed, so 10/11 * 506 = 460 minutes passed while the watch was running. Add the 30 minutes and you see that it is 506 - (460 + 30) = 16 minutes earlier than the watch shows.


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