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A grandfather clock needs to be rewound after a few weeks. You remember that the time on the grandfather clock was $11$:$20$ AM when you rewound it last time, and it stopped working at $5$:$30$ PM exactly $30$ days later.

If the minute hand of the clock measures $12$ inches across, determine how far the end of the minute hand has traveled in the month the clock was working.

Round your answer to the nearest foot.

A

$54,739$ in

B

$54,752$ in

C

$190$ feet

D

$4562$ feet

E

$4563$ feet

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