A Clock's Work
The hour and minute hands of a clock is showing 11:48 am right now.
The angle between the 2 hands is 126º.
In how many minutes, will the angle between the 2 hands is again 126º?
Note that in the answer, each of the hour and minute hands are on 1 of the 60 small lines around the clock.
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1 solution
For angles of 126º, there are only 2 possible timings:
10:12 and 11:48
Since 10:12 am has already passed, the next possible timing is 10:12 pm.
The number of minutes between 11:48 am and 10:12 pm is 624 minutes.
Hence, the answer is Between 601 to 719 minutes.