MATH STINGER #30 
by Dr. Joel C. Fowler 
Assistant Professor of Mathematics 

The puzzles for this issue concern an ordinary clock with an hour and 
minute hand that move continuously with no jerks or stops. At five o'clock 
the hands occupy their usual positions on the dial. 

The first puzzle is to determine the exact time during the next hour at which 
the two hands will be in the exact same position on the clock? 

The second puzzle is to determine the exact time at which the 
hands will first form a right angle with each other?

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