Question

At what time between 5 and 5:30 will be hands of a clock be at right angle?​

Answer 1

Answer:

5:20will be the the correct time

Answer 2

$\sf\huge{★\: Solution\: :-}$

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$\pink{↠}$If the time is 5 hours and x minutes after 5, when the two hands of the clock are same, then the angle formed by minute hand is:

$\pink{↠}$$\tt\frac{x}{60}$$\tt{༝\:360\: =\: 6x}$

$\pink{↠}$The hour hand moves $\frac{1}{2}$ degree each minute, then angle traced by hour hand is = $\tt{150\: +}$$\tt\frac{x}{2}$

$\pink{↠}$Hence, $\tt{150\: +}$$\tt\frac{x}{2}$$\tt{- \: 6\: x\: =\: 90}$

$\pink{↠}$$\tt{60\: =}$$\tt{11 \:x}{2}$

$\pink{↠}$$\tt{x\: =}$$\tt\frac{120}{11}$

$\pink{↠}$$\tt{x\: =\:10}$$\tt\frac{10}{11}$$\tt{min. \: past. \: 5.}$

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$\tt\blue{Answer\: ↦}$$\tt\frac{10}{11}$$\sf\purple{min.\:past\:5}$

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Hope its help uhh :)