How often are the hands of a clock at a right | vedclass

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(B) In every hour, there are two positions where the hands of a clock are at a right angle $(90^{\circ})$.However, due to the relative speed of the ha

Vedclass · Accepted Answer

$44$

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(B) In every hour, there are two positions where the hands of a clock are at a right angle $(90^{\circ})$.However, due to the relative speed of the hands, these positions are not perfectly distributed.In every $12$ hours, the hands are at a right angle $22$ times.Specifically, between $2$ and $4$ o'clock, there are only $3$ right angles instead of $4$, and similarly between $8$ and $10$ o'clock, there are only $3$ right angles instead of $4$.Therefore, in $12$ hours, the total number of times the hands are at a right angle is $22$.Since a day consists of $24$ hours, the total number of times the hands are at a right angle in a day is $22 	imes 2 = 44$ times.

How often are the hands of a clock at a right angle every day (in $times$)?

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