SSC CGL Exam > SSC CGL Questions > Two pipes A and B can separately fill a ciste... Start Learning for Free
Two pipes A and B can separately fill a cistern in 60 minutes and 75 minutes respectively. There is a third pipe in the bottom of the cistern to empty it. If all the three pipes are simultaneously opened, then the cistern is full in 50 minutes. In how much time the third pipe alone can empty the cistern?
- a)90 minutes
- b)110 minutes
- c)100 minutes
- d)120 minutes
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Two pipes A and B can separately fill a cistern in 60 minutes and 75 m...
Let the third pipe empty the cistern in x minutes.
Part of cistern filled in 1 minute when all three pipes are opened simultaneously
According to the question,
Part of cistern filled in 1 minute when all three pipes are opened simultaneously
According to the question,
Free Test
FREE
| Start Free Test |
Community Answer
Two pipes A and B can separately fill a cistern in 60 minutes and 75 m...
Understanding the Problem
To solve the problem, we need to determine the time it takes for the third pipe, which empties the cistern, to do so.
Filling Rates of Pipes
- Pipe A fills the cistern in 60 minutes.
- Filling Rate = 1/60 cisterns per minute
- Pipe B fills the cistern in 75 minutes.
- Filling Rate = 1/75 cisterns per minute
Combined Filling Rate of Pipes A and B
- Combined Rate (A + B) = (1/60 + 1/75)
- To combine these fractions, find a common denominator:
- LCM of 60 and 75 = 300
- Thus,
- (1/60 = 5/300) and (1/75 = 4/300)
- Combined Rate = (5/300 + 4/300) = 9/300 = 3/100 cisterns per minute
Rate of the Third Pipe
- Let the rate of the third pipe (which empties the cistern) be 'E' cisterns per minute.
- When all pipes are open, the effective filling rate is:
- (3/100 - E) = 1/50 (since the cistern is full in 50 minutes)
Setting Up the Equation
- From the above, we have:
- 3/100 - E = 1/50
- Convert 1/50 to have a common denominator with 3/100:
- 1/50 = 2/100
- Thus, the equation becomes:
- 3/100 - E = 2/100
Solve for E
- Rearranging gives:
- E = 3/100 - 2/100 = 1/100 cisterns per minute
Time Taken by the Third Pipe Alone
- If the emptying rate is 1/100, then the time taken to empty the cistern is:
- Time = 1 / (1/100) = 100 minutes
Therefore, the third pipe alone can empty the cistern in 100 minutes, confirming that option 'C' is correct.
To solve the problem, we need to determine the time it takes for the third pipe, which empties the cistern, to do so.
Filling Rates of Pipes
- Pipe A fills the cistern in 60 minutes.
- Filling Rate = 1/60 cisterns per minute
- Pipe B fills the cistern in 75 minutes.
- Filling Rate = 1/75 cisterns per minute
Combined Filling Rate of Pipes A and B
- Combined Rate (A + B) = (1/60 + 1/75)
- To combine these fractions, find a common denominator:
- LCM of 60 and 75 = 300
- Thus,
- (1/60 = 5/300) and (1/75 = 4/300)
- Combined Rate = (5/300 + 4/300) = 9/300 = 3/100 cisterns per minute
Rate of the Third Pipe
- Let the rate of the third pipe (which empties the cistern) be 'E' cisterns per minute.
- When all pipes are open, the effective filling rate is:
- (3/100 - E) = 1/50 (since the cistern is full in 50 minutes)
Setting Up the Equation
- From the above, we have:
- 3/100 - E = 1/50
- Convert 1/50 to have a common denominator with 3/100:
- 1/50 = 2/100
- Thus, the equation becomes:
- 3/100 - E = 2/100
Solve for E
- Rearranging gives:
- E = 3/100 - 2/100 = 1/100 cisterns per minute
Time Taken by the Third Pipe Alone
- If the emptying rate is 1/100, then the time taken to empty the cistern is:
- Time = 1 / (1/100) = 100 minutes
Therefore, the third pipe alone can empty the cistern in 100 minutes, confirming that option 'C' is correct.
 | Explore Courses for SSC CGL exam |  |
Top Courses for SSC CGLView all
Top Courses for SSC CGL
Question Description
Two pipes A and B can separately fill a cistern in 60 minutes and 75 minutes respectively. There is a third pipe in the bottom of the cistern to empty it. If all the three pipes are simultaneously opened, then the cistern is full in 50 minutes. In how much time the third pipe alone can empty the cistern?a)90 minutesb)110 minutesc)100 minutesd)120 minutesCorrect answer is option 'C'. Can you explain this answer? for SSC CGL 2026 is part of SSC CGL preparation. The Question and answers have been prepared according to the SSC CGL exam syllabus. Information about Two pipes A and B can separately fill a cistern in 60 minutes and 75 minutes respectively. There is a third pipe in the bottom of the cistern to empty it. If all the three pipes are simultaneously opened, then the cistern is full in 50 minutes. In how much time the third pipe alone can empty the cistern?a)90 minutesb)110 minutesc)100 minutesd)120 minutesCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for SSC CGL 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two pipes A and B can separately fill a cistern in 60 minutes and 75 minutes respectively. There is a third pipe in the bottom of the cistern to empty it. If all the three pipes are simultaneously opened, then the cistern is full in 50 minutes. In how much time the third pipe alone can empty the cistern?a)90 minutesb)110 minutesc)100 minutesd)120 minutesCorrect answer is option 'C'. Can you explain this answer?.
Two pipes A and B can separately fill a cistern in 60 minutes and 75 minutes respectively. There is a third pipe in the bottom of the cistern to empty it. If all the three pipes are simultaneously opened, then the cistern is full in 50 minutes. In how much time the third pipe alone can empty the cistern?a)90 minutesb)110 minutesc)100 minutesd)120 minutesCorrect answer is option 'C'. Can you explain this answer? for SSC CGL 2026 is part of SSC CGL preparation. The Question and answers have been prepared according to the SSC CGL exam syllabus. Information about Two pipes A and B can separately fill a cistern in 60 minutes and 75 minutes respectively. There is a third pipe in the bottom of the cistern to empty it. If all the three pipes are simultaneously opened, then the cistern is full in 50 minutes. In how much time the third pipe alone can empty the cistern?a)90 minutesb)110 minutesc)100 minutesd)120 minutesCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for SSC CGL 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two pipes A and B can separately fill a cistern in 60 minutes and 75 minutes respectively. There is a third pipe in the bottom of the cistern to empty it. If all the three pipes are simultaneously opened, then the cistern is full in 50 minutes. In how much time the third pipe alone can empty the cistern?a)90 minutesb)110 minutesc)100 minutesd)120 minutesCorrect answer is option 'C'. Can you explain this answer?.
Solutions for Two pipes A and B can separately fill a cistern in 60 minutes and 75 minutes respectively. There is a third pipe in the bottom of the cistern to empty it. If all the three pipes are simultaneously opened, then the cistern is full in 50 minutes. In how much time the third pipe alone can empty the cistern?a)90 minutesb)110 minutesc)100 minutesd)120 minutesCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for SSC CGL. Download more important topics, notes, lectures and mock test series for SSC CGL Exam by signing up for free.
Here you can find the meaning of Two pipes A and B can separately fill a cistern in 60 minutes and 75 minutes respectively. There is a third pipe in the bottom of the cistern to empty it. If all the three pipes are simultaneously opened, then the cistern is full in 50 minutes. In how much time the third pipe alone can empty the cistern?a)90 minutesb)110 minutesc)100 minutesd)120 minutesCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Two pipes A and B can separately fill a cistern in 60 minutes and 75 minutes respectively. There is a third pipe in the bottom of the cistern to empty it. If all the three pipes are simultaneously opened, then the cistern is full in 50 minutes. In how much time the third pipe alone can empty the cistern?a)90 minutesb)110 minutesc)100 minutesd)120 minutesCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for Two pipes A and B can separately fill a cistern in 60 minutes and 75 minutes respectively. There is a third pipe in the bottom of the cistern to empty it. If all the three pipes are simultaneously opened, then the cistern is full in 50 minutes. In how much time the third pipe alone can empty the cistern?a)90 minutesb)110 minutesc)100 minutesd)120 minutesCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of Two pipes A and B can separately fill a cistern in 60 minutes and 75 minutes respectively. There is a third pipe in the bottom of the cistern to empty it. If all the three pipes are simultaneously opened, then the cistern is full in 50 minutes. In how much time the third pipe alone can empty the cistern?a)90 minutesb)110 minutesc)100 minutesd)120 minutesCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Two pipes A and B can separately fill a cistern in 60 minutes and 75 minutes respectively. There is a third pipe in the bottom of the cistern to empty it. If all the three pipes are simultaneously opened, then the cistern is full in 50 minutes. In how much time the third pipe alone can empty the cistern?a)90 minutesb)110 minutesc)100 minutesd)120 minutesCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice SSC CGL tests.
| Explore Courses for SSC CGL exam | |
Top Courses for SSC CGL
Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
