How many times a day do a clock’s hands overlap? I’m going to walk you through the way to solve the problem and then give you an answer.
The way it works is (this is a math formula), in T hours, the minute hand completes T laps. In the same amount of time, the hour hand completes T over 12 laps. The 1st time the minute in our hands overlaps, the minute hand is completed one more lap than the hour hand.T=T/12 + 1. That means the 1st time it overlap occurs after T/11 hours or [1:05] AM.
It, therefore, follows that the 2nd time they overlap the minute hand-completed 2 more laps than the hour hand. we can then conclude that T = T/12 + n.
Since we have 24 hours in a day, the equation can be solved for n.
24 = 24/12+n 24 = 2 + n n = 22
The hands of the clock overlap 22 times a day.
The mass translates at the overlap at:
Remember that they repeat themselves for the next sequence.
Ⓒ The Big Game Hunter, Inc., Asheville, NC 2020
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