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Two pipes M and N can fill a tank in 8 minutes and 12 minutes respectively. If both the pipes are opened simultaneously, after what time should N be closed so that the tank is full in 6 minutes?
- a)1 min
- b)2 min
- c)3 min
- d)4 min
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
Two pipes M and N can fill a tank in 8 minutes and 12 minutes respecti...
Let us assume that after x minutes pipe N is closed
(1/8 + 1/12)*x + (1/8)*(6 -x) = 1
Therefore, x = 3 minutes
(1/8 + 1/12)*x + (1/8)*(6 -x) = 1
Therefore, x = 3 minutes
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Community Answer
Two pipes M and N can fill a tank in 8 minutes and 12 minutes respecti...
Calculation:
To find the time after which pipe N should be closed, we need to consider the rate at which the tank is filled by both pipes M and N.
Let the tank's total capacity be 1 unit.
Rate of filling:
- Pipe M fills the tank in 8 minutes, so its rate of filling = 1/8 units per minute.
- Pipe N fills the tank in 12 minutes, so its rate of filling = 1/12 units per minute.
When both pipes are open:
- Combined rate of filling = 1/8 + 1/12 = 5/24 units per minute.
Time to fill the tank in 6 minutes:
To fill the tank in 6 minutes, the total amount filled in 6 minutes by both pipes should be equal to the tank's capacity, which is 1 unit.
Total amount filled in 6 minutes = (5/24) * t + (1/12) * (6-t) = 1, where t is the time after which pipe N should be closed.
Solving the equation:
- (5/24) * t + (1/12) * (6-t) = 1
- 5t/24 + (6-t)/12 = 1
- 5t/24 + 6/12 - t/12 = 1
- 5t/24 + 1/2 - t/12 = 1
- 5t/24 - t/12 = 1 - 1/2
- 5t/24 - 2t/24 = 1/2
- 3t/24 = 1/2
- t = 4
Therefore, N should be closed after 4 minutes so that the tank is full in 6 minutes.
Conclusion:
The correct answer is option C) 3 min.
To find the time after which pipe N should be closed, we need to consider the rate at which the tank is filled by both pipes M and N.
Let the tank's total capacity be 1 unit.
Rate of filling:
- Pipe M fills the tank in 8 minutes, so its rate of filling = 1/8 units per minute.
- Pipe N fills the tank in 12 minutes, so its rate of filling = 1/12 units per minute.
When both pipes are open:
- Combined rate of filling = 1/8 + 1/12 = 5/24 units per minute.
Time to fill the tank in 6 minutes:
To fill the tank in 6 minutes, the total amount filled in 6 minutes by both pipes should be equal to the tank's capacity, which is 1 unit.
Total amount filled in 6 minutes = (5/24) * t + (1/12) * (6-t) = 1, where t is the time after which pipe N should be closed.
Solving the equation:
- (5/24) * t + (1/12) * (6-t) = 1
- 5t/24 + (6-t)/12 = 1
- 5t/24 + 6/12 - t/12 = 1
- 5t/24 + 1/2 - t/12 = 1
- 5t/24 - t/12 = 1 - 1/2
- 5t/24 - 2t/24 = 1/2
- 3t/24 = 1/2
- t = 4
Therefore, N should be closed after 4 minutes so that the tank is full in 6 minutes.
Conclusion:
The correct answer is option C) 3 min.
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Two pipes M and N can fill a tank in 8 minutes and 12 minutes respectively. If both the pipes are opened simultaneously, after what time should N be closed so that the tank is full in 6 minutes?a)1 minb)2 minc)3 mind)4 minCorrect answer is option 'C'. Can you explain this answer?
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Two pipes M and N can fill a tank in 8 minutes and 12 minutes respectively. If both the pipes are opened simultaneously, after what time should N be closed so that the tank is full in 6 minutes?a)1 minb)2 minc)3 mind)4 minCorrect answer is option 'C'. Can you explain this answer? for Interview Preparation 2024 is part of Interview Preparation preparation. The Question and answers have been prepared according to the Interview Preparation exam syllabus. Information about Two pipes M and N can fill a tank in 8 minutes and 12 minutes respectively. If both the pipes are opened simultaneously, after what time should N be closed so that the tank is full in 6 minutes?a)1 minb)2 minc)3 mind)4 minCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Interview Preparation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two pipes M and N can fill a tank in 8 minutes and 12 minutes respectively. If both the pipes are opened simultaneously, after what time should N be closed so that the tank is full in 6 minutes?a)1 minb)2 minc)3 mind)4 minCorrect answer is option 'C'. Can you explain this answer?.
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Two pipes M and N can fill a tank in 8 minutes and 12 minutes respectively. If both the pipes are opened simultaneously, after what time should N be closed so that the tank is full in 6 minutes?a)1 minb)2 minc)3 mind)4 minCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for Two pipes M and N can fill a tank in 8 minutes and 12 minutes respectively. If both the pipes are opened simultaneously, after what time should N be closed so that the tank is full in 6 minutes?a)1 minb)2 minc)3 mind)4 minCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of Two pipes M and N can fill a tank in 8 minutes and 12 minutes respectively. If both the pipes are opened simultaneously, after what time should N be closed so that the tank is full in 6 minutes?a)1 minb)2 minc)3 mind)4 minCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
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