Two Clock Hands on Same Position

Geometry Level 2

The clock has the hour and minute hands. The hour hand is the shortest, whereas the minute hand is the longest.

Assume that all hands continuously and smoothly rotate throughout the whole time at the constant speed. How many total different ways are there, such that both hands are exactly at the same position?

Note: Both hands do not have to point exactly at the marks or numbers for this to count. Only consider position for this problem.

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