Question

at what time between 2:00 p.m. and 3:00 p.m. the angle between minute hand and hour hand is 120​

Answer 1

Answer:

We know that there are 12 divisions in a clock (1 - 12). We also know that there are 360 degrees in a circle. So, the angle between two successive divisions is 360/12 or 30 degrees.

The minute hand covers 30 degrees (1 division) in 5 minutes. Therefore, it’s speed is (30/5) = 6 deg/min.

The hour hand covers 30 degrees (1 division) in 60 minutes. It’s speed is (30/60) = 0.5 deg/min.

Let’s begin with 2:00, since it’s easy to visualize.

At 2:00, the minute hand is at the zeroth degree, while the hour hand is at the 60th degree, i.e. the hour hand is 60 degrees ahead of the minute hand.