Question 3

What is the angle between the two hands of a clock when the time shown by the clock is 8 p.m.?(in degrees)

Solution

The total angle in a clock is 360°.

The minute hand covers this 360° in 60 minutes. Thus ,for every minute it covers 6°.

The hour hand covers this 360° in 12 hour. Thus ,for every hour it covers 30°.

So, in 8 hour ,the hour hand will cover $$8\times30°=240°.$$

So, the difference between hour hand and minute hand at 8 p.m will be = $$\left(360°-240°\right)=120°.$$

So, option B is correct .

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