Following is my question for you.

When you are looking at the clock at 12:00 the hour hand and minute hand are exactly together. (one on top of the other). Between 1:00pm and 1:15pm there is another time when the hour and minute hands are exactly together again.

I need to know what time this is and is there a formula that can be used to figure it out?

Thanks so much for your help

Student
Secondary Question
Minnie

The minute hand moves 360 degrees in 60 minutes and hence it moves at a rate of ³⁶⁰/₆₀ = 6 degrees per minute. The hour hand moves 360 degrees in 12  60 minutes and hence it moves at a rate of ³⁶⁰/_12  60 = ¹/₂ a degree per minute. Thus, t minutes after 12:00 the minute hand has moved 6t degrees and the hour hand has moved  ^t/₂ degrees. Hence the angle between the hands is