SOLUTION: A clock is set right at 10AM.The clock gains 10 minutes in 24 hours.What will be the true time when the clock indicates 3PM the following day?
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Question 1062537: A clock is set right at 10AM.The clock gains 10 minutes in 24 hours.What will be the true time when the clock indicates 3PM the following day? Found 3 solutions by josmiceli, Edwin McCravy, MathTherapy:Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website! 10 AM to 10 AM the next day is 24 hrs
If the clock is showing 10 AM the next day,
the actual time passed is 23 hrs 50 min
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If the clock shows 3 PM the next day, that includes
a gain of min min
3 PM minus 12.0833 min = 2:47.92
The true time would be about 2:48
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Get another opinion on this, too
I could be off
The other answer is off. Here's how I do it:
An accurate clock's minute hand sweeps through 24×60 = 1440
minute marks per 24 hours.
The gaining clock's minute hand sweeps through 1440+10 = 1450
minute marks per 24 hours.
So an accurate clock's time-lapse readings will be only
1440/1450ths or 144/145ths of the gaining clock's time-lapse
readings.
It is a 5 hour time-lapse from 10AM to 3PM.
So the time-lapse reading of an accurate clock will be 144/145ths
of 5 hours past 10AM.
hours after 10AM
Then we convert hours to minutes:
So when the gaining clock reads 3:00, the correct time will be
2:57PM
Edwin
You can put this solution on YOUR website!
A clock is set right at 10AM.The clock gains 10 minutes in 24 hours.What will be the true time when the clock indicates 3PM the following day?
