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Basic Concepts Overlapping Clock Hands

The hour and minute hands overlap at 12 o'clock, and 11 more times in
the next 12 hours.

Since the hour and minute hands overlap at regular time intervals,

after they overlap once, they will next overlap in 720 11 65 5 minutes.
11

Example At 6 o'clock, the hour and minute hands form a straight line. At
what time will they next form a straight line?

11 12 1
10 2
93
84

765

Class Notes

After 6 o' clock, the hour and minute hands will form a straight line times in

the next 12 hours.

Since the hour and minute hands form a straight line at regular intervals, the
interval between the consecutive times when they form a straight line is

720 minutes.

Therefore, the time they will next form a straight line after 6 o'clock will be at 6 o'clock

+ min :

Try It Again What is the exact time the clock hands overlap between
2 o' clock and 3 o' clock?

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