1good question and even better solution. I had seen a solution but that was far more complicated. I like this approach :)
The minute and hour hands of the clock meet at 12 o'clock
What is the next time they meet?
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3 Answers
62This is probably not a question of algebra, but a question of physics!
How, i will tell..
The angular velocity is the hour hand is 360° in 12 hours. So it is 30° every hour. So it is 0.5° every minute!
The angular velocity of minute hand is 360° in 1 hours. So it is 6° every minute.
Now the relative angular velocity is 6-0.5=5.5° per minute.
The angle that needs to be covered for them to meet again is 360°
Hence, The time for them to meet again is 360/5.5 minutes = 6/5.5 hours = 1.0909 hours = 1 hour and 5.454 minutes
So they will meet at 1:05:60 o'clock
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