Bank Exams Exam > Bank Exams Questions > At what time between 3 and 4 oclock will the ...
Start Learning for Free
At what time between 3 and 4 o'clock will the hands of a clock coincide?
- a)16 4/11 minutes past 3
- b)15 3/11 minutes past 3
- c)17 5/11 minutes past 3
- d)18 6/11 minutes past 3
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
At what time between 3 and 4 oclock will the hands of a clock coincide...
Understanding Clock Mechanics
To determine when the hands of a clock will coincide between 3 and 4 o'clock, we need to analyze the movement of the hour and minute hands.
Movement of the Hands
- The minute hand moves at 6 degrees per minute (360 degrees/60 minutes).
- The hour hand moves at 0.5 degrees per minute (30 degrees/60 minutes).
At 3:00, the hour hand is at 90 degrees (3 hours x 30 degrees/hour).
Setting Up the Equation
Let "t" be the time in minutes after 3:00 when the hands coincide. The positions of the hands at that time can be expressed as:
- Minute hand position: 6t degrees
- Hour hand position: 90 + 0.5t degrees
To find the time when they coincide, set their positions equal:
6t = 90 + 0.5t
Solving the Equation
1. Rearranging gives:
6t - 0.5t = 90
2. This simplifies to:
5.5t = 90
3. Solving for "t" yields:
t = 90 / 5.5 = 16.36 minutes
This can be converted into minutes and seconds.
Final Result
When we convert 16.36 minutes into minutes and seconds, we get:
- 16 minutes and approximately 22 seconds.
Thus, the hands of the clock will coincide at approximately 16 4/11 minutes past 3.
Conclusion
The correct answer is option 'A': 16 4/11 minutes past 3. This method illustrates how the positions of the clock hands can be calculated using their respective speeds and relative positions.
To determine when the hands of a clock will coincide between 3 and 4 o'clock, we need to analyze the movement of the hour and minute hands.
Movement of the Hands
- The minute hand moves at 6 degrees per minute (360 degrees/60 minutes).
- The hour hand moves at 0.5 degrees per minute (30 degrees/60 minutes).
At 3:00, the hour hand is at 90 degrees (3 hours x 30 degrees/hour).
Setting Up the Equation
Let "t" be the time in minutes after 3:00 when the hands coincide. The positions of the hands at that time can be expressed as:
- Minute hand position: 6t degrees
- Hour hand position: 90 + 0.5t degrees
To find the time when they coincide, set their positions equal:
6t = 90 + 0.5t
Solving the Equation
1. Rearranging gives:
6t - 0.5t = 90
2. This simplifies to:
5.5t = 90
3. Solving for "t" yields:
t = 90 / 5.5 = 16.36 minutes
This can be converted into minutes and seconds.
Final Result
When we convert 16.36 minutes into minutes and seconds, we get:
- 16 minutes and approximately 22 seconds.
Thus, the hands of the clock will coincide at approximately 16 4/11 minutes past 3.
Conclusion
The correct answer is option 'A': 16 4/11 minutes past 3. This method illustrates how the positions of the clock hands can be calculated using their respective speeds and relative positions.
Free Test
FREE
| Start Free Test |
Community Answer
At what time between 3 and 4 oclock will the hands of a clock coincide...
- The formula for overlapping hands: (60/11 × H) minutes past H.
- Here, H = 3.
- Time = (60 × 3)/11 = 180/11 = 16 4/11 minutes past 3.
|
Explore Courses for Bank Exams exam
|
|
Top Courses for Bank ExamsView all
Question Description
At what time between 3 and 4 oclock will the hands of a clock coincide?a)16 4/11 minutes past 3b)15 3/11 minutes past 3c)17 5/11 minutes past 3d)18 6/11 minutes past 3Correct answer is option 'A'. Can you explain this answer? for Bank Exams 2025 is part of Bank Exams preparation. The Question and answers have been prepared according to the Bank Exams exam syllabus. Information about At what time between 3 and 4 oclock will the hands of a clock coincide?a)16 4/11 minutes past 3b)15 3/11 minutes past 3c)17 5/11 minutes past 3d)18 6/11 minutes past 3Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Bank Exams 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for At what time between 3 and 4 oclock will the hands of a clock coincide?a)16 4/11 minutes past 3b)15 3/11 minutes past 3c)17 5/11 minutes past 3d)18 6/11 minutes past 3Correct answer is option 'A'. Can you explain this answer?.
At what time between 3 and 4 oclock will the hands of a clock coincide?a)16 4/11 minutes past 3b)15 3/11 minutes past 3c)17 5/11 minutes past 3d)18 6/11 minutes past 3Correct answer is option 'A'. Can you explain this answer? for Bank Exams 2025 is part of Bank Exams preparation. The Question and answers have been prepared according to the Bank Exams exam syllabus. Information about At what time between 3 and 4 oclock will the hands of a clock coincide?a)16 4/11 minutes past 3b)15 3/11 minutes past 3c)17 5/11 minutes past 3d)18 6/11 minutes past 3Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Bank Exams 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for At what time between 3 and 4 oclock will the hands of a clock coincide?a)16 4/11 minutes past 3b)15 3/11 minutes past 3c)17 5/11 minutes past 3d)18 6/11 minutes past 3Correct answer is option 'A'. Can you explain this answer?.
Solutions for At what time between 3 and 4 oclock will the hands of a clock coincide?a)16 4/11 minutes past 3b)15 3/11 minutes past 3c)17 5/11 minutes past 3d)18 6/11 minutes past 3Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Bank Exams.
Download more important topics, notes, lectures and mock test series for Bank Exams Exam by signing up for free.
Here you can find the meaning of At what time between 3 and 4 oclock will the hands of a clock coincide?a)16 4/11 minutes past 3b)15 3/11 minutes past 3c)17 5/11 minutes past 3d)18 6/11 minutes past 3Correct answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
At what time between 3 and 4 oclock will the hands of a clock coincide?a)16 4/11 minutes past 3b)15 3/11 minutes past 3c)17 5/11 minutes past 3d)18 6/11 minutes past 3Correct answer is option 'A'. Can you explain this answer?, a detailed solution for At what time between 3 and 4 oclock will the hands of a clock coincide?a)16 4/11 minutes past 3b)15 3/11 minutes past 3c)17 5/11 minutes past 3d)18 6/11 minutes past 3Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of At what time between 3 and 4 oclock will the hands of a clock coincide?a)16 4/11 minutes past 3b)15 3/11 minutes past 3c)17 5/11 minutes past 3d)18 6/11 minutes past 3Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice At what time between 3 and 4 oclock will the hands of a clock coincide?a)16 4/11 minutes past 3b)15 3/11 minutes past 3c)17 5/11 minutes past 3d)18 6/11 minutes past 3Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice Bank Exams tests.
|
|
Explore Courses for Bank Exams exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup on EduRev and stay on top of your study goals
10M+ students crushing their study goals daily