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 = ?

  1. A.

    140°

  2. B.

    320°

  3. C.

    520°

  4. 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:

  1. Convert the elapsed time to minutes: 2 hours 20 minutes = (2 × 60) + 20 = 140 minutes.

  2. 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.

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