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Kavita found that the clock minute hand was on 3 and hour hand was on 7 after some times she found the minute hand was on 9 and houn hand was on 3 what angle did the hour during that period?
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Kavita found that the clock minute hand was on 3 and hour hand was on ...
Initial Positions of Hands
- The minute hand is on 3, which corresponds to 15 minutes past the hour.
- The hour hand is on 7, indicating it is 7 o'clock.
Final Positions of Hands
- The minute hand moves to 9, which corresponds to 45 minutes.
- The hour hand is now on 3, indicating it is 3 o'clock.
Time Elapsed
- From 7:15 to 3:45, the total time elapsed is 8 hours and 30 minutes (or 8.5 hours).
Movement of Hour Hand
- The hour hand moves at a rate of 30 degrees per hour (360 degrees/12 hours).
- In 8.5 hours, the movement is:
Angle = Time × Rate
Angle = 8.5 hours × 30 degrees/hour
Angle = 255 degrees
Understanding the Angle
- The hour hand moved from 7 to 3, which is a movement of 6 hour marks on the clock (7 to 8, 8 to 9, 9 to 10, 10 to 11, 11 to 12, and 12 to 1).
- Each hour mark represents an angle of 30 degrees. Therefore, the angle from 7 to 3 is:
Angle = 6 marks × 30 degrees/mark = 180 degrees
Conclusion
- The hour hand moved 255 degrees in total, but the effective angle from the initial position to the final position is 180 degrees.
- Therefore, the angle the hour hand covers during this period is **180 degrees**.
- The minute hand is on 3, which corresponds to 15 minutes past the hour.
- The hour hand is on 7, indicating it is 7 o'clock.
Final Positions of Hands
- The minute hand moves to 9, which corresponds to 45 minutes.
- The hour hand is now on 3, indicating it is 3 o'clock.
Time Elapsed
- From 7:15 to 3:45, the total time elapsed is 8 hours and 30 minutes (or 8.5 hours).
Movement of Hour Hand
- The hour hand moves at a rate of 30 degrees per hour (360 degrees/12 hours).
- In 8.5 hours, the movement is:
Angle = Time × Rate
Angle = 8.5 hours × 30 degrees/hour
Angle = 255 degrees
Understanding the Angle
- The hour hand moved from 7 to 3, which is a movement of 6 hour marks on the clock (7 to 8, 8 to 9, 9 to 10, 10 to 11, 11 to 12, and 12 to 1).
- Each hour mark represents an angle of 30 degrees. Therefore, the angle from 7 to 3 is:
Angle = 6 marks × 30 degrees/mark = 180 degrees
Conclusion
- The hour hand moved 255 degrees in total, but the effective angle from the initial position to the final position is 180 degrees.
- Therefore, the angle the hour hand covers during this period is **180 degrees**.
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Kavita found that the clock minute hand was on 3 and hour hand was on 7 after some times she found the minute hand was on 9 and houn hand was on 3 what angle did the hour during that period?
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Kavita found that the clock minute hand was on 3 and hour hand was on 7 after some times she found the minute hand was on 9 and houn hand was on 3 what angle did the hour during that period? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Kavita found that the clock minute hand was on 3 and hour hand was on 7 after some times she found the minute hand was on 9 and houn hand was on 3 what angle did the hour during that period? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Kavita found that the clock minute hand was on 3 and hour hand was on 7 after some times she found the minute hand was on 9 and houn hand was on 3 what angle did the hour during that period?.
Kavita found that the clock minute hand was on 3 and hour hand was on 7 after some times she found the minute hand was on 9 and houn hand was on 3 what angle did the hour during that period? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Kavita found that the clock minute hand was on 3 and hour hand was on 7 after some times she found the minute hand was on 9 and houn hand was on 3 what angle did the hour during that period? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Kavita found that the clock minute hand was on 3 and hour hand was on 7 after some times she found the minute hand was on 9 and houn hand was on 3 what angle did the hour during that period?.
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