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A pipe can fill a cistern in 12 min and another pipe can fill it in 15 min but a third pipe can empty it in 6 minutes. The first two pipes are kept open for 5 minutes in the beginning and then the third pipe is also opened. Time taken to empty the cistern is:
- a)38 minutes
- b)22 minutes
- c)42 minutes
- d)45 minutes
- e)60 minutes
Correct answer is option 'D'. Can you explain this answer?
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A pipe can fill a cistern in 12 min and another pipe can fill it in 15...
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A pipe can fill a cistern in 12 min and another pipe can fill it in 15...
Given information:
- One pipe can fill the cistern in 12 minutes.
- Another pipe can fill the cistern in 15 minutes.
- A third pipe can empty the cistern in 6 minutes.
Approach:
1. Find the rate of each pipe to determine how much water they can fill or empty in 1 minute.
2. Calculate the net rate at which water is filled or emptied from the cistern.
3. Determine the time taken to empty the cistern using the net rate.
Calculations:
1. Rate of filling by the first pipe:
- The first pipe can fill the cistern in 12 minutes, so its rate is 1/12 cistern per minute.
2. Rate of filling by the second pipe:
- The second pipe can fill the cistern in 15 minutes, so its rate is 1/15 cistern per minute.
3. Rate of emptying by the third pipe:
- The third pipe can empty the cistern in 6 minutes, so its rate is 1/6 cistern per minute.
4. Net rate of filling or emptying:
- When the first two pipes are open for 5 minutes, they fill the cistern at a rate of (1/12 + 1/15) cistern per minute.
- The net rate of filling by the first two pipes is (1/12 + 1/15) - (1/6) = 1/60 cistern per minute.
5. Time taken to empty the cistern:
- After the first two pipes are open for 5 minutes, the third pipe is also opened.
- The net rate of filling or emptying is 1/60 cistern per minute.
- As the third pipe can empty the cistern, the net rate is negative.
- The time taken to empty the cistern completely is the reciprocal of the net rate, which is 60 minutes.
Therefore, the correct answer is option D) 45 minutes.
- One pipe can fill the cistern in 12 minutes.
- Another pipe can fill the cistern in 15 minutes.
- A third pipe can empty the cistern in 6 minutes.
Approach:
1. Find the rate of each pipe to determine how much water they can fill or empty in 1 minute.
2. Calculate the net rate at which water is filled or emptied from the cistern.
3. Determine the time taken to empty the cistern using the net rate.
Calculations:
1. Rate of filling by the first pipe:
- The first pipe can fill the cistern in 12 minutes, so its rate is 1/12 cistern per minute.
2. Rate of filling by the second pipe:
- The second pipe can fill the cistern in 15 minutes, so its rate is 1/15 cistern per minute.
3. Rate of emptying by the third pipe:
- The third pipe can empty the cistern in 6 minutes, so its rate is 1/6 cistern per minute.
4. Net rate of filling or emptying:
- When the first two pipes are open for 5 minutes, they fill the cistern at a rate of (1/12 + 1/15) cistern per minute.
- The net rate of filling by the first two pipes is (1/12 + 1/15) - (1/6) = 1/60 cistern per minute.
5. Time taken to empty the cistern:
- After the first two pipes are open for 5 minutes, the third pipe is also opened.
- The net rate of filling or emptying is 1/60 cistern per minute.
- As the third pipe can empty the cistern, the net rate is negative.
- The time taken to empty the cistern completely is the reciprocal of the net rate, which is 60 minutes.
Therefore, the correct answer is option D) 45 minutes.
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A pipe can fill a cistern in 12 min and another pipe can fill it in 15 min but a third pipe can empty it in 6 minutes. The first two pipes are kept open for 5 minutes in the beginning and then the third pipe is also opened. Time taken to empty the cistern is:a)38 minutesb)22 minutesc)42 minutesd)45 minutese)60 minutesCorrect answer is option 'D'. Can you explain this answer?
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A pipe can fill a cistern in 12 min and another pipe can fill it in 15 min but a third pipe can empty it in 6 minutes. The first two pipes are kept open for 5 minutes in the beginning and then the third pipe is also opened. Time taken to empty the cistern is:a)38 minutesb)22 minutesc)42 minutesd)45 minutese)60 minutesCorrect answer is option 'D'. Can you explain this answer? for Banking Exams 2025 is part of Banking Exams preparation. The Question and answers have been prepared according to the Banking Exams exam syllabus. Information about A pipe can fill a cistern in 12 min and another pipe can fill it in 15 min but a third pipe can empty it in 6 minutes. The first two pipes are kept open for 5 minutes in the beginning and then the third pipe is also opened. Time taken to empty the cistern is:a)38 minutesb)22 minutesc)42 minutesd)45 minutese)60 minutesCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Banking Exams 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A pipe can fill a cistern in 12 min and another pipe can fill it in 15 min but a third pipe can empty it in 6 minutes. The first two pipes are kept open for 5 minutes in the beginning and then the third pipe is also opened. Time taken to empty the cistern is:a)38 minutesb)22 minutesc)42 minutesd)45 minutese)60 minutesCorrect answer is option 'D'. Can you explain this answer?.
A pipe can fill a cistern in 12 min and another pipe can fill it in 15 min but a third pipe can empty it in 6 minutes. The first two pipes are kept open for 5 minutes in the beginning and then the third pipe is also opened. Time taken to empty the cistern is:a)38 minutesb)22 minutesc)42 minutesd)45 minutese)60 minutesCorrect answer is option 'D'. Can you explain this answer? for Banking Exams 2025 is part of Banking Exams preparation. The Question and answers have been prepared according to the Banking Exams exam syllabus. Information about A pipe can fill a cistern in 12 min and another pipe can fill it in 15 min but a third pipe can empty it in 6 minutes. The first two pipes are kept open for 5 minutes in the beginning and then the third pipe is also opened. Time taken to empty the cistern is:a)38 minutesb)22 minutesc)42 minutesd)45 minutese)60 minutesCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Banking Exams 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A pipe can fill a cistern in 12 min and another pipe can fill it in 15 min but a third pipe can empty it in 6 minutes. The first two pipes are kept open for 5 minutes in the beginning and then the third pipe is also opened. Time taken to empty the cistern is:a)38 minutesb)22 minutesc)42 minutesd)45 minutese)60 minutesCorrect answer is option 'D'. Can you explain this answer?.
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A pipe can fill a cistern in 12 min and another pipe can fill it in 15 min but a third pipe can empty it in 6 minutes. The first two pipes are kept open for 5 minutes in the beginning and then the third pipe is also opened. Time taken to empty the cistern is:a)38 minutesb)22 minutesc)42 minutesd)45 minutese)60 minutesCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for A pipe can fill a cistern in 12 min and another pipe can fill it in 15 min but a third pipe can empty it in 6 minutes. The first two pipes are kept open for 5 minutes in the beginning and then the third pipe is also opened. Time taken to empty the cistern is:a)38 minutesb)22 minutesc)42 minutesd)45 minutese)60 minutesCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of A pipe can fill a cistern in 12 min and another pipe can fill it in 15 min but a third pipe can empty it in 6 minutes. The first two pipes are kept open for 5 minutes in the beginning and then the third pipe is also opened. Time taken to empty the cistern is:a)38 minutesb)22 minutesc)42 minutesd)45 minutese)60 minutesCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A pipe can fill a cistern in 12 min and another pipe can fill it in 15 min but a third pipe can empty it in 6 minutes. The first two pipes are kept open for 5 minutes in the beginning and then the third pipe is also opened. Time taken to empty the cistern is:a)38 minutesb)22 minutesc)42 minutesd)45 minutese)60 minutesCorrect answer is option 'D'. Can you explain this answer? tests, examples and also practice Banking Exams tests.
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