Find at what time between 8 and 9 o'clock wil | vedclass

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(C) To be in the same straight line but not together,the hands of the clock must be $30$ minutes apart.At $8$ o'clock,the minute hand is at $12$ and t

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$10 \frac{10}{11}$ minutes past $8$

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(C) To be in the same straight line but not together,the hands of the clock must be $30$ minutes apart.At $8$ o'clock,the minute hand is at $12$ and the hour hand is at $8$. The difference is $40$ minute spaces.Since the hour hand is at $8$ (which is past $6$),we use the formula for the time $T$ when the hands are $30$ minutes apart:$T = (5H - 30) 	imes \frac{12}{11}$Here,$H = 8$.$T = (5 	imes 8 - 30) 	imes \frac{12}{11}$$T = (40 - 30) 	imes \frac{12}{11}$$T = 10 	imes \frac{12}{11} = \frac{120}{11} = 10 \frac{10}{11}$ minutes.Thus,the hands will be in the same straight line but not together at $10 \frac{10}{11}$ minutes past $8$ o'clock.

Find at what time between $8$ and $9$ o'clock will the hands of a clock be in the same straight line but not together?

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