Clock Hand Overlapping

How many times do a clock's hands overlap in a day ?

Clock Hand Overlapping




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Three cars are driving on a track that forms a perfect circle and is wide enough that multiple cars can pass anytime. The car that is leading in the race right now is driving at 55 MPH and the car that is trailing at the last is going at 45 MPH. The car that is in the middle is somewhere between these two speeds.
Right now, you can assume that there is a distance of x miles between the leading car and the middle car and x miles between the middle car and the last car and also, x is not equal to 0 or 1.
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Crossword puzzles

In the 1920s, people feared that crossword puzzles would contribute to illiteracy.