At what time between 5 and 6 o'clock are the | vedclass

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(A) The formula to find the time when the hands of a clock are at a certain distance $M$ (in minutes) between $H$ and $H+1$ o'clock is given by $T = \

Vedclass · Accepted Answer

$24$ minutes past $5$

Vedclass · Answer

(A) The formula to find the time when the hands of a clock are at a certain distance $M$ (in minutes) between $H$ and $H+1$ o'clock is given by $T = \frac{12}{11}(5H \pm M)$.Here,$H = 5$ and $M = 3$.Case $1$: $T = \frac{12}{11}(5 	imes 5 - 3) = \frac{12}{11}(25 - 3) = \frac{12}{11} 	imes 22 = 24$ minutes past $5$.Case $2$: $T = \frac{12}{11}(5 	imes 5 + 3) = \frac{12}{11}(25 + 3) = \frac{12}{11} 	imes 28 = \frac{336}{11} = 30 \frac{6}{11}$ minutes past $5$.Since $24$ minutes past $5$ is one of the valid times and is present in the options,the correct answer is $24$ minutes past $5$.

At what time between $5$ and $6$ o'clock are the hands of a clock $3$ minutes apart?

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