Question 632705: Problem: One day I was at school,the electricity went out at home. when I left for swim practice that morning,all the clocks were working and the time was 6:30am.When I returned home they all said different times. the wind -up clock,which was unaffected by the loss of electricity,have a time of 5:21pm. my math clock, which stops when the electricity is off and runs when the electricity is on, gave a time of 3:50 pm. My digital clock, which resets to midnight when the power goes off and continues to run from that point,have a flashing time of 6:03 am. Assuming the electricity went out only once, what time did it go out and for how long?
~ also can you show all of your work thank you soo much!!
Answer by josmiceli(19441)   (Show Source):
You can put this solution on YOUR website! The 3 clocks each are a piece of the puzzle.
(1)
The wind-up clock gives the true time when
you returned home which was 5:21 PM.
(2)
The math clock, if you subtract if you
subtract whatever it says from 5:21 PM,
will give you the duration of the power loss.
(3)
The digital clock will tell you when the power
loss started by subtracting it's time from 5:21
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First, I look at the digital clock and subtract
6 hrs and 3 min from 5:21. That would be 42
min before 12, or 11:18 as the start of the power loss
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Then, looking at the math clock, 5:21 minus 3:50
is 1 hr and 31 min. That is the time elapsed during
the power loss.
-----------------------
Also, the power came back on at 11:18 + 1 hr 30 min
or 12:48 PM.
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To check this, the 3 time periods, before, during, and after
should add up to 5:21 PM - 6:30 AM = 10 hrs 51 min
---------
Before the loss:
11:18 AM - 6:30 AM = 4 hrs 48 min
---------
Duration of the loss:
1 hr 31 min
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After the loss:
5:21 PM - 12:48 PM = 4 hrs 33 min
---------
 hr
 min
 min
 hr  min
This adds up to 10 hrs 52 min
I'm 1 min over. There must be a slight
mistake, but I think my method is OK
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