Question

The angle between the minute hand and the hour hand of a clock when the time 4 : 20 is :

• A. 0°
• B. 10°
• C. 5°
• D. 20°

Answer 1

Answer:

B. 10°

1. Hour Hand Position:

• The hour hand moves 360 degrees in 12 hours, or 30 degrees per hour (360/12 = 30).

• At 4 o'clock, the hour hand is at 4 * 30 = 120 degrees.

• In 20 minutes, the hour hand moves an additional (20/60) * 30 = 10 degrees.

• So, at 4:20, the hour hand is at 120 + 10 = 130 degrees.

2. Minute Hand Position:

• The minute hand moves 360 degrees in 60 minutes, or 6 degrees per minute (360/60 = 6).

• At 20 minutes past the hour, the minute hand is at 20 * 6 = 120 degrees.

3. Angle Between the Hands:

• The difference between the positions of the hour and minute hands gives the angle between them.

• Angle = |130 - 120| = 10 degrees.

Therefore, the angle between the minute hand and the hour hand at 4:20 is 10 degrees.