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How many minute-marks apart are the hour and minute hands when the time is 4:15?
- a)5 minute-marks
- b)6.25 minute-marks
- c)7.5 minute-marks
- d)8.75 minute-marks
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
How many minute-marks apart are the hour and minute hands when the tim...
Understanding the Clock Positions
When analyzing the positions of the hour and minute hands at 4:15, it's essential to calculate where each hand points on the clock.
Minute Hand Position
- The minute hand moves at a rate of 6 degrees per minute (360 degrees / 60 minutes).
- At 15 minutes, the minute hand is at:
- 15 minutes * 6 degrees/minute = 90 degrees.
- This places the minute hand on the 3 o'clock mark.
Hour Hand Position
- The hour hand moves at a rate of 30 degrees per hour (360 degrees / 12 hours) and an additional 0.5 degrees per minute (30 degrees / 60 minutes).
- At 4:00, the hour hand is at:
- 4 hours * 30 degrees/hour = 120 degrees.
- By 4:15, the hour hand moves an additional 7.5 degrees (15 minutes * 0.5 degrees/minute):
- Total for hour hand = 120 degrees + 7.5 degrees = 127.5 degrees.
Calculating the Angle Between the Hands
- Now, we find the difference between the positions of the hour and minute hands:
- Angle difference = 127.5 degrees - 90 degrees = 37.5 degrees.
Converting Degrees to Minute-Marks
- Since each minute-mark on the clock represents 6 degrees, we convert the angle:
- 37.5 degrees / 6 degrees/minute-mark = 6.25 minute-marks.
Conclusion
- Therefore, the hour and minute hands are 6.25 minute-marks apart when the time is 4:15.
- The correct answer is option 'B'.
When analyzing the positions of the hour and minute hands at 4:15, it's essential to calculate where each hand points on the clock.
Minute Hand Position
- The minute hand moves at a rate of 6 degrees per minute (360 degrees / 60 minutes).
- At 15 minutes, the minute hand is at:
- 15 minutes * 6 degrees/minute = 90 degrees.
- This places the minute hand on the 3 o'clock mark.
Hour Hand Position
- The hour hand moves at a rate of 30 degrees per hour (360 degrees / 12 hours) and an additional 0.5 degrees per minute (30 degrees / 60 minutes).
- At 4:00, the hour hand is at:
- 4 hours * 30 degrees/hour = 120 degrees.
- By 4:15, the hour hand moves an additional 7.5 degrees (15 minutes * 0.5 degrees/minute):
- Total for hour hand = 120 degrees + 7.5 degrees = 127.5 degrees.
Calculating the Angle Between the Hands
- Now, we find the difference between the positions of the hour and minute hands:
- Angle difference = 127.5 degrees - 90 degrees = 37.5 degrees.
Converting Degrees to Minute-Marks
- Since each minute-mark on the clock represents 6 degrees, we convert the angle:
- 37.5 degrees / 6 degrees/minute-mark = 6.25 minute-marks.
Conclusion
- Therefore, the hour and minute hands are 6.25 minute-marks apart when the time is 4:15.
- The correct answer is option 'B'.
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Community Answer
How many minute-marks apart are the hour and minute hands when the tim...
At 4:15 the hour hand has moved one quarter of the way from 4 to 5, so it is at 4 + (15 divided by 60) = 4.25 hours. One hour mark equals 5 minute-marks, so the hour hand is at 4.25 × 5 = 21.25 minute-marks. The minute hand at 15 minutes is at the 15-minute mark. The difference is |21.25 − 15| = 6.25 minute-marks.
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How many minute-marks apart are the hour and minute hands when the time is 4:15?a) 5 minute-marksb) 6.25 minute-marksc) 7.5 minute-marksd) 8.75 minute-marksCorrect answer is option 'B'. Can you explain this answer? for Class 1 2025 is part of Class 1 preparation. The Question and answers have been prepared according to the Class 1 exam syllabus. Information about How many minute-marks apart are the hour and minute hands when the time is 4:15?a) 5 minute-marksb) 6.25 minute-marksc) 7.5 minute-marksd) 8.75 minute-marksCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 1 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for How many minute-marks apart are the hour and minute hands when the time is 4:15?a) 5 minute-marksb) 6.25 minute-marksc) 7.5 minute-marksd) 8.75 minute-marksCorrect answer is option 'B'. Can you explain this answer?.
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