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What fraction of a clockwise revolution does the hour hand of a clock turn through, when it goes from 3 to 9?
  • a)
    1/3
  • b)
    1
  • c)
    1/4
  • d)
    1/2
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
What fraction of a clockwise revolution does the hour hand of a clock ...
**Explanation:**

To solve this problem, we need to understand the relationship between the hour hand and the complete revolution of the clock.

**Relationship between the hour hand and the complete revolution:**

- A complete revolution of the clock is equal to 360 degrees.
- The hour hand of a clock completes one revolution in 12 hours.
- Therefore, the hour hand moves 30 degrees in one hour (360 degrees / 12 hours = 30 degrees/hour).

**Calculating the fraction of a revolution:**

- When the hour hand moves from 3 to 9, it covers 6 hours.
- The hour hand moves 30 degrees/hour.
- Therefore, the hour hand moves 30 degrees/hour * 6 hours = 180 degrees.

**Calculating the fraction of a revolution:**

To calculate the fraction of a revolution, we need to divide the angle covered by the hour hand (180 degrees) by the angle of a complete revolution (360 degrees).

- Fraction of a revolution = Angle covered by the hour hand / Angle of a complete revolution
- Fraction of a revolution = 180 degrees / 360 degrees
- Fraction of a revolution = 1/2

Therefore, the fraction of a clockwise revolution that the hour hand turns through when it goes from 3 to 9 is 1/2.

Hence, the correct answer is option D) 1/2.
Free Test
Community Answer
What fraction of a clockwise revolution does the hour hand of a clock ...
Simple way to solve this question:-

gap between the hour hand = 3-9 = 6 hrs
1 hour makes 30 degree
So, 6 hrs makes 180 degree
Now, 1 revolution is 360 degree
so,
180/360
1/2
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