Bank Exams Exam > Bank Exams Questions > Two pipes A can B can fill a tank in 12 minut...
Start Learning for Free
Two pipes A can B can fill a tank in 12 minutes and 16 minutes respectively, but a third pipe C can empty the full tank in 6 minutes. A and B are kept open for 4 minutes in the beginning and then C is also opened. In what time is the cistern emptied.?
Most Upvoted Answer
Two pipes A can B can fill a tank in 12 minutes and 16 minutes respect...
Introduction
To solve the problem of how long it takes to empty the tank when pipes A and B are opened first, followed by pipe C, we need to determine the filling and emptying rates of each pipe and analyze the situation step by step.
Filling Rates of Pipes A and B
- Pipe A fills the tank in 12 minutes, so its rate is 1/12 tanks per minute.
- Pipe B fills the tank in 16 minutes, so its rate is 1/16 tanks per minute.
Total Filling Rate of A and B
- Combined rate of A and B:
- (1/12 + 1/16) = (4/48 + 3/48) = 7/48 tanks per minute.
Initial Filling for 4 Minutes
- In 4 minutes, the amount filled by A and B:
- 4 minutes * (7/48) = 28/48 = 7/12 of the tank.
Remaining Capacity of the Tank
- After 4 minutes, the tank has 7/12 filled, leaving:
- 1 - 7/12 = 5/12 of the tank still empty.
Introduction of Pipe C
- Pipe C empties the tank in 6 minutes, so its rate is 1/6 tanks per minute.
Combined Rate When All Pipes are Open
- When Pipe C is opened, the combined rate becomes:
- (7/48 - 1/6) = (7/48 - 8/48) = -1/48 tanks per minute.
- This negative rate indicates that the tank is emptying at a rate of 1/48 tanks per minute.
Time to Empty the Remaining Tank
- To empty the remaining 5/12 of the tank:
- Time = (5/12) ÷ (1/48) = (5/12) * (48/1) = 20 minutes.
Conclusion
Thus, the total time to empty the tank after opening all three pipes is 20 minutes.
To solve the problem of how long it takes to empty the tank when pipes A and B are opened first, followed by pipe C, we need to determine the filling and emptying rates of each pipe and analyze the situation step by step.
Filling Rates of Pipes A and B
- Pipe A fills the tank in 12 minutes, so its rate is 1/12 tanks per minute.
- Pipe B fills the tank in 16 minutes, so its rate is 1/16 tanks per minute.
Total Filling Rate of A and B
- Combined rate of A and B:
- (1/12 + 1/16) = (4/48 + 3/48) = 7/48 tanks per minute.
Initial Filling for 4 Minutes
- In 4 minutes, the amount filled by A and B:
- 4 minutes * (7/48) = 28/48 = 7/12 of the tank.
Remaining Capacity of the Tank
- After 4 minutes, the tank has 7/12 filled, leaving:
- 1 - 7/12 = 5/12 of the tank still empty.
Introduction of Pipe C
- Pipe C empties the tank in 6 minutes, so its rate is 1/6 tanks per minute.
Combined Rate When All Pipes are Open
- When Pipe C is opened, the combined rate becomes:
- (7/48 - 1/6) = (7/48 - 8/48) = -1/48 tanks per minute.
- This negative rate indicates that the tank is emptying at a rate of 1/48 tanks per minute.
Time to Empty the Remaining Tank
- To empty the remaining 5/12 of the tank:
- Time = (5/12) ÷ (1/48) = (5/12) * (48/1) = 20 minutes.
Conclusion
Thus, the total time to empty the tank after opening all three pipes is 20 minutes.
|
Explore Courses for Bank Exams exam
|
|
Similar Bank Exams Doubts
Top Courses for Bank ExamsView all
Two pipes A can B can fill a tank in 12 minutes and 16 minutes respectively, but a third pipe C can empty the full tank in 6 minutes. A and B are kept open for 4 minutes in the beginning and then C is also opened. In what time is the cistern emptied.?
Question Description
Two pipes A can B can fill a tank in 12 minutes and 16 minutes respectively, but a third pipe C can empty the full tank in 6 minutes. A and B are kept open for 4 minutes in the beginning and then C is also opened. In what time is the cistern emptied.? 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 Two pipes A can B can fill a tank in 12 minutes and 16 minutes respectively, but a third pipe C can empty the full tank in 6 minutes. A and B are kept open for 4 minutes in the beginning and then C is also opened. In what time is the cistern emptied.? covers all topics & solutions for Bank Exams 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two pipes A can B can fill a tank in 12 minutes and 16 minutes respectively, but a third pipe C can empty the full tank in 6 minutes. A and B are kept open for 4 minutes in the beginning and then C is also opened. In what time is the cistern emptied.?.
Two pipes A can B can fill a tank in 12 minutes and 16 minutes respectively, but a third pipe C can empty the full tank in 6 minutes. A and B are kept open for 4 minutes in the beginning and then C is also opened. In what time is the cistern emptied.? 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 Two pipes A can B can fill a tank in 12 minutes and 16 minutes respectively, but a third pipe C can empty the full tank in 6 minutes. A and B are kept open for 4 minutes in the beginning and then C is also opened. In what time is the cistern emptied.? covers all topics & solutions for Bank Exams 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two pipes A can B can fill a tank in 12 minutes and 16 minutes respectively, but a third pipe C can empty the full tank in 6 minutes. A and B are kept open for 4 minutes in the beginning and then C is also opened. In what time is the cistern emptied.?.
Solutions for Two pipes A can B can fill a tank in 12 minutes and 16 minutes respectively, but a third pipe C can empty the full tank in 6 minutes. A and B are kept open for 4 minutes in the beginning and then C is also opened. In what time is the cistern emptied.? 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 Two pipes A can B can fill a tank in 12 minutes and 16 minutes respectively, but a third pipe C can empty the full tank in 6 minutes. A and B are kept open for 4 minutes in the beginning and then C is also opened. In what time is the cistern emptied.? defined & explained in the simplest way possible. Besides giving the explanation of
Two pipes A can B can fill a tank in 12 minutes and 16 minutes respectively, but a third pipe C can empty the full tank in 6 minutes. A and B are kept open for 4 minutes in the beginning and then C is also opened. In what time is the cistern emptied.?, a detailed solution for Two pipes A can B can fill a tank in 12 minutes and 16 minutes respectively, but a third pipe C can empty the full tank in 6 minutes. A and B are kept open for 4 minutes in the beginning and then C is also opened. In what time is the cistern emptied.? has been provided alongside types of Two pipes A can B can fill a tank in 12 minutes and 16 minutes respectively, but a third pipe C can empty the full tank in 6 minutes. A and B are kept open for 4 minutes in the beginning and then C is also opened. In what time is the cistern emptied.? theory, EduRev gives you an
ample number of questions to practice Two pipes A can B can fill a tank in 12 minutes and 16 minutes respectively, but a third pipe C can empty the full tank in 6 minutes. A and B are kept open for 4 minutes in the beginning and then C is also opened. In what time is the cistern emptied.? 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 to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup