How many times in a day do the two hands on a clock coincide?
1 Answer
Explanation:
In one hour, the minute hand goes through a complete circle, while the hour hand traces
So the hour hand travels at
Consider the time after
At
In terms of revolutions of the hour hand, the minute and hour hand will coincide after:
#1/12+1/12^2+1/12^3+... = 1/11#
That is: the hour hand will have travelled round by
So the times at which the two hands coincide divide the clock into