Given:the arc between 2 consecutive numbers on a clock. Each minute, the hour hand of the clock moves through 1/60 of such an arc. How many degrees does the hour hand move in 20 minutes?

Why is the solution 10 degrees?

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- Apr 30th 2008, 04:16 PMdonnagirlClock and arcs
Given:the arc between 2 consecutive numbers on a clock. Each minute, the hour hand of the clock moves through 1/60 of such an arc. How many degrees does the hour hand move in 20 minutes?

Why is the solution 10 degrees? - Apr 30th 2008, 04:54 PMTheEmptySet

1 arc is equal to 1/12th the distance around the clock.

so $\displaystyle 1 \mbox{ arc }=\frac{1}{12}360^\circ=30^\circ$

Lets start with what we know.

$\displaystyle \left( \frac{20 min}{1} \right)\left( \frac{1/60 arc}{1 min} \right)\left( \frac{30^\circ}{1 arc} \right) =10^\circ$