When do hour and minute hands of a clock overlap in a day?

Question

Suppose, I am given the following problem:

After how many minutes, the hour and minute hands of a clock will overlap between 4 o'clock and 5 o'clock (AM or PM does not matter)?

In general, how to calculate the overlapping time of the hour and minute hands in a certain hour of day?

Last update: | by a Community Editor

Accepted Answer

Before solving this particular problem of clock, we have to understand the relation between time and angle of clock hands. A general clock has 12 marks to divide twelve hours of both day and night. The whole clock forms 360&deg; of angles, where eac