If the minute hand of a clock has moved 300º, how many degrees has the hour…
2024
If the minute hand of a clock has moved 300º, how many degrees has the hour hand moved?
- A.
25°
- B.
150°
- C.
50°
- D.
300°
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Show answer & explanation
Correct answer: A
Answer: 25°
Key idea: The minute hand moves 6° per minute (360° in 60 minutes). The hour hand moves 0.5° per minute (360° in 12 hours → 360° in 720 minutes → 0.5°/min).
Find the time for the minute hand to move 300°: 300 ÷ 6 = 50 minutes.
Compute the hour hand's movement in that time: 0.5°/min × 50 min = 25°.
Alternative quick method: The hour hand moves 1/12 as many degrees as the minute hand, so 300 ÷ 12 = 25°.