SOLUTION: my watch was correct at 12 noon. after which it began to lose 15 minutes every hour. eight hours ago it stopped completely. the time showing on my watch is 3.15 pm. what time is it

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Question 1063023: my watch was correct at 12 noon. after which it began to lose 15 minutes every hour. eight hours ago it stopped completely. the time showing on my watch is 3.15 pm. what time is it now?

Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
Before the watch completely stopped,
it was indicating the passage of
60-15=45 minutes for each 60 minutes (1 hour) of actual elapsed time.
The ratio of elapsed time to watch-indicated time was
60%2F45=4%2F3 .
By the time the watch stopped, it was indicating that
3hours%2B15minutes=%283%2A60%2B15%29minutes=195minutes
had passed since noon.
The time elapsed since noon (in minutes) was actually
%284%2F3%29%2A195=260 ,
which is %284%2A60%2B20%29minutes=4hours%2B20minutes ,
so it was actualy 4:20 PM.
Now, 8 hours later, the time is
20 minutes past midnight, or
12:20 AM on the next day.