SOLUTION: The minute hand of a clock is 18 inches long and its hour hand is 12 inches long. How far does the tip of the minute hand move in 20 minutes? The hour hand?

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Question 666017: The minute hand of a clock is 18 inches long and its hour hand is 12 inches long. How far does the tip of the minute hand move in 20 minutes? The hour hand?
Found 2 solutions by Alan3354, josmiceli:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
The minute hand of a clock is 18 inches long and its hour hand is 12 inches long.
How far does the tip of the minute hand move in 20 minutes?
1/3 of a revolution
= (1/3)*2*pi*18 inches
= 12pi inches
--------------------
The hour hand?
1/36 of a revolution.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The circumference that is traced out by the
minute hand is +2%2Api%2A18+=+36%2Api+
The circumference traced out by the
hour hand is +2%2Api%2A12+=+24%2Api+
-------------------
20 minutes is +20%2F60+=+1%2F3+ of the
circumference
+%281%2F3%29%2A36%2Api+=+37.692+
+%281%2F3%29%2A24%2Api+=+25.128+
The tip of the hour hand travels 37.7 inches in 20 min
The tip of the minute hand travels 25.13 inches in 20 min