When Do the Three Hands of an Analog Clock Overlap?
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There is an interesting puzzle based on old-fashioned analog clocks.[more]
Question: How many times a day are the three hands of a clock exactly in line? What are the exact times? How can you calculate them?[less]
Contributed by: Frederick Wu (October 2008)
Open content licensed under CC BY-NC-SA
Answer: This Demonstration solves this puzzle by finding the 12 times.
Snapshot 1: the first moment that the three hands overlap is at 0:0:0 or 12:00:00
Snapshot 2: the second moment is at 1:05:05
Snapshot 3: the last moment is at 11:59:59
Tip: The "static" option is for turning the three hands to any position you want.
"When Do the Three Hands of an Analog Clock Overlap?"
Wolfram Demonstrations Project
Published: October 29 2008