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How many minutes does the minute hand take to move from 3 to 9?
- a)6 min
- b)10 min
- c)20 min
- d)30 min
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
How many minutes does the minute hand take to move from 3 to 9?a)6 min...
To move from 3 to 9, the minute hand takes 6 × 5 min = 30 min.
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How many minutes does the minute hand take to move from 3 to 9?a)6 min...
To determine the time it takes for the minute hand to move from 3 to 9, we need to understand how the minute hand moves and the concept of angles in a clock.
Understanding the Movement of the Minute Hand:
- A clock has 12 hour markers, with each marker representing 5 minutes.
- The minute hand moves continuously, completing a full rotation in 60 minutes.
Understanding the Angle Between 3 and 9:
- The angle between two adjacent hour markers on a clock is 30 degrees.
- Since there are four hour markers between 3 and 9 (at 4, 5, 6, and 7), the angle between 3 and 9 is 4 times 30 degrees, which equals 120 degrees.
Calculating the Time Taken:
- Since the minute hand moves at a constant rate, we can calculate the time it takes for it to move 120 degrees by finding the fraction of a full rotation it represents.
- A full rotation of 360 degrees represents 60 minutes, so we can set up a proportion to find the time taken for 120 degrees.
- Let x represent the time taken in minutes: 360 degrees / 60 minutes = 120 degrees / x minutes.
- Solving this proportion, we find that x = 20 minutes.
Therefore, the correct answer is option 'c) 20 min'.
Understanding the Movement of the Minute Hand:
- A clock has 12 hour markers, with each marker representing 5 minutes.
- The minute hand moves continuously, completing a full rotation in 60 minutes.
Understanding the Angle Between 3 and 9:
- The angle between two adjacent hour markers on a clock is 30 degrees.
- Since there are four hour markers between 3 and 9 (at 4, 5, 6, and 7), the angle between 3 and 9 is 4 times 30 degrees, which equals 120 degrees.
Calculating the Time Taken:
- Since the minute hand moves at a constant rate, we can calculate the time it takes for it to move 120 degrees by finding the fraction of a full rotation it represents.
- A full rotation of 360 degrees represents 60 minutes, so we can set up a proportion to find the time taken for 120 degrees.
- Let x represent the time taken in minutes: 360 degrees / 60 minutes = 120 degrees / x minutes.
- Solving this proportion, we find that x = 20 minutes.
Therefore, the correct answer is option 'c) 20 min'.
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How many minutes does the minute hand take to move from 3 to 9?a)6 minb)10 minc)20 mind)30 minCorrect answer is option 'D'. Can you explain this answer?
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