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A clock gains five minutes every hour. What will be the angle traversed by the second hand in one minute?
- a)360°
- b)360.5°
- c)390°
- d)380°
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
A clock gains five minutes every hour. What will be the angle travers...
Assume the clock is a circle. Also, assume that the second hand’s continuous motion is the cause of the problem and not the tick of the minute hand.
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The second hand normally traverses 360 degrees in one minute. We would expect, then, for the second hand to travel 21,600 degrees in one hour.
If the clock gains five minutes every hour, the second hand is rotating for an additional five minutes that have not occurred. This means it has rotated 360 degrees five extra times.
21,600°+(5)360°=23,400°
Divide this by 60 seconds per minute to yield:
390°
Hence, the correct option is c).
Most Upvoted Answer
A clock gains five minutes every hour. What will be the angle travers...
Solution:
The second hand of a clock completes one full rotation of 360° in one minute. But in this case, the clock gains five minutes every hour. This means, in every minute, the second hand will have to cover an additional angle of (5/60) × 360° = 30°.
Therefore, the angle traversed by the second hand in one minute will be:
360° + 30° = 390°
Hence, the correct answer is option C.
The second hand of a clock completes one full rotation of 360° in one minute. But in this case, the clock gains five minutes every hour. This means, in every minute, the second hand will have to cover an additional angle of (5/60) × 360° = 30°.
Therefore, the angle traversed by the second hand in one minute will be:
360° + 30° = 390°
Hence, the correct answer is option C.
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A clock gains five minutes every hour. What will be the angle traversed by the second hand in one minute?a)360°b)360.5°c)390°d)380°Correct answer is option 'C'. Can you explain this answer?
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