A worker noticed that the hour hand on the factory clock had moved 225 degrees during her stay at the factory. For how long does she stay in the factory?

8.5 hours

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7.5 hours

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3.75 hours

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4 hours and 15 minutes

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Solution

The correct option is B 7.5 hours
$W e k n o w t h a t w a t c h h o u r h a n d c o m p l e t e$
$o n e r o t a t i o n (360^{o}) i n 12 h o u r s$

$S o, f o r 225^{o}, C o r r e s p o n d i n g t i m e$

$= \frac{225}{360} \times 12 = 7.5 h o u r s$

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