In an accurate clock, in a period of 2 hours 20 minutes the minute hand will…
2026
In an accurate clock, in a period of 2 hours 20 minutes the minute hand will move over = ?
- A.
140°
- B.
320°
- C.
520°
- D.
840°
Attempted by 6 students.
Show answer & explanation
Correct answer: D
Concept: A clock's minute hand completes one full 360° rotation every 60 minutes, so its constant angular speed is 360° ÷ 60 = 6° per minute.
Application:
Convert the elapsed time to minutes: 2 hours 20 minutes = (2 × 60) + 20 = 140 minutes.
Multiply the elapsed minutes by the angular speed: angle = 140 × 6° = 840°.
Cross-check: Split the duration — in 2 full hours the minute hand completes 2 full revolutions = 2 × 360° = 720°; in the remaining 20 minutes it moves 20 × 6° = 120°; total = 720° + 120° = 840°, which matches.
So the minute hand moves through 840° in 2 hours 20 minutes.