In an accurate clock, how many degrees does the minute hand move in a period of 2 hours 20 minutes?

Difficulty: Easy

Correct Answer: 840°

Explanation:

Introduction / Context:The minute hand completes a full circle (360°) each hour. Equivalently, it turns at 6° per minute. Converting the total time into minutes lets us multiply directly to find degrees swept.

Given Data / Assumptions:

  • Total time = 2 h 20 min = 140 minutes.
  • Minute hand speed = 6° per minute.

Concept / Approach:Degrees moved = minutes elapsed * 6°/minute.

Step-by-Step Solution:

Degrees = 140 * 6 = 840°

Verification / Alternative check:2 hours = 720° (two full turns) and 20 minutes = 120°; total 720° + 120° = 840°.

Why Other Options Are Wrong:520° and 320° undercount; 140° incorrectly treats 1° per minute; none equals the correct combined sweep.

Common Pitfalls:Using 360°/hour without converting the “20 minutes” part, or mixing the hour hand’s 0.5°/minute rate.

Final Answer:840°.

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