In an accurate clock, how many degrees does the minute hand move in a period of 2 hours 20 minutes?
Aptitude
Calendar
Difficulty: Easy
Choose an option
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A520°
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B320°
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C840°
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D140°
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ENone of these
Answer
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°.