Question

We all know that the hour hand and the minute
hand on a clock travel at different speeds. However,
there are certain occasions when they are exactly
opposite each other. Can you give a simple formula
for calculating the times of these occasions?​

Answer 1

Step-by-step explanation:

Let the distance be the degree in the clock i.e. between 0 to 360 Degrees. Therefore the speed of the hour hand is 30 degrees per hour that is 0.5 degrees per miinute.Speed of the minute hand is 360 degrees per hour that is 6 degrees per minute.So in any problem initial time will be given Using that calculate the number of degrees the minute hand should travel to reach the opposite direction. Then find the time taken to cover those degrees using the minute hand's relative speed.