Find the angle between the minute hand and the hour hand of a clock when the time is 5:20.

Asked by Topperlearning User | 4th Jun, 2014, 01:23: PM

Expert Answer:

In 12 hours hour hand moves by 360 degrees
In 1 hr it will move by 30 degrees
So in 1 min it will move ½ degree
So in 5 hr and 20 min it will move 5 x 30 + 20 x ½ = 160 degree
For minute hand
In 60 min it moves 360 degree
So in 1 min it moves 6 degree.
So in 20 min it moves 20x6 =120 degree.
Therefore difference is 160 – 120 = 40 degree

Answered by  | 4th Jun, 2014, 03:23: PM