Problem 4E

Clock’s moving hands At what rate is the angle between a clock’s minute and hour hands changing at 4 o’clock in the afternoon?

Answer:

Step 1 :

In this problem we need to find what rate is the angle between a clock’s minute and hour hands changing at 4 o'clock in the afternoon.

So , find the rate of change of the angle in degrees per minute.

We know that at 4p.m , the hours hand at 4 and minutes hand at 12.

The angle between 4 and 12 is

The hours handle movement is per minute and the minute handle movement is per minute.

Thus , the rate is the angle between two hands at 4p.m is: