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The time shown by the clock is 10 hours 30 minutes. How many times does the minute hand of the same clock rotate when the time shown by the clock is 2 hours 30 minutes?
  • a)
    2 times
  • b)
    3 times
  • c)
    4 times
  • d)
    5 times
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
The time shown by the clock is 10 hours 30 minutes. How many times do...
2 hours 30 minutes = 14:30 in 24- hour format
In 1 hour, the minute hand rotates= 1 time
In 4 hours, the minute hand rotates= 4 times
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Community Answer
The time shown by the clock is 10 hours 30 minutes. How many times do...
Calculation:

1. Finding the number of rotations of the minute hand for 10 hours 30 minutes:
- In 10 hours, the minute hand completes 10 rotations.
- For the additional 30 minutes, the minute hand moves half a rotation.
- Therefore, the minute hand rotates 10 + 0.5 = 10.5 times.

2. Finding the number of rotations of the minute hand for 2 hours 30 minutes:
- In 2 hours, the minute hand completes 2 rotations.
- For the additional 30 minutes, the minute hand moves half a rotation.
- Therefore, the minute hand rotates 2 + 0.5 = 2.5 times.

Conclusion:
- The minute hand rotates 10.5 times for 10 hours 30 minutes.
- The minute hand rotates 2.5 times for 2 hours 30 minutes.
- The difference in rotations between the two times is 10.5 - 2.5 = 8 rotations.
- This means the minute hand completes 4 full rotations during this time.
- Therefore, the minute hand rotates 4 times when the time shown by the clock is 2 hours 30 minutes.
Therefore, the correct answer is option C) 4 times.
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The time shown by the clock is 10 hours 30 minutes. How many times does the minute hand of the same clock rotate when the time shown by the clock is 2 hours 30 minutes?a)2 timesb)3 timesc)4 timesd)5 timesCorrect answer is option 'C'. Can you explain this answer?
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