1955 AHSME Problems/Problem 2
Contents
[hide]Problem
The smaller angle between the hands of a clock at p.m. is:
Solution
At , the minute hand is at , or . The hour hand moves 'minutes' every hour, or every hour. At every hour, the hour hand moves minutes on the clock every minute. At , the hour hand is at . Therefore, the angle between the hands is , , or .
Solution 2
Using the formula , and plugging in 12 for h and 25 for m, we get the angle between to be 222.5. Since the problem wants the smaller angle, we do
See Also
1955 AHSC (Problems • Answer Key • Resources) | ||
Preceded by Problem 1 |
Followed by Problem 3 | |
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