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Math Help - Clock and arcs

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    Clock 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?
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    Quote Originally Posted by donnagirl View Post
    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?

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

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

    Lets start with what we know.

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