Mark the correct alternative in the following: At 3:40, the hour and minute hands of a clock are inclined at

Question

Philoid · Accepted Answer

We know, in clock 1 rotation gives 360°

i.e. 60 minutes=360° and 12 hours=360°

So,1 minute=6° and 1 hour=30°

Now, For hour hand:

3 hours=3×30°=90° and for another 40 minute= (30°÷60)×40=20°

i.e. angle traced by hour hand is 90°+20°=110°

Now, for minute hand:

40 minute=40×6°=240°

i.e. angle traced by minute hand is 240°.

So, the angle between hour hand and minute hand=240°-110°

=130°