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 8:26am.
I know that it stopped 30 minutes ago, so what is the correct time now?
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Answer
8:10am.
Reasoning
The watch now shows 8:26am, so we know that (8 x 60 + 26) 506 watch minutes have passed.
Since the watch is gaining 6 minutes every hour, for every real hour that has passed the watch will show 66 minutes.
So, 506 ÷ 66 ≈ 7.666 real hours have passed.
This equals 460 minutes, which is 7 hours and 40 minutes (7:40am).
The watch stopped 30 minutes ago, therefore the time must now be 8:10am.
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