Discussion

What is the angle between the hour hand and the minute hand of a clock at 3:40 ?

Answer: B

Correct answer: 130°

The minute hand moves \(6°\) per minute and the hour hand \(0.5°\) per minute.

\[\text{Minute hand} = 40 \times 6 = 240°\]

\[\text{Hour hand} = 3 \times 30 + 40 \times 0.5 = 90 + 20 = 110°\]

\[\text{Angle} = 240 - 110 = 130°\]

The hour hand has crept two-thirds of the way from 3 towards 4, which is what the extra \(20°\) represents.

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