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Pipes A and B can fill a cistern individually in 20 minutes and 30 minutes respectively. A third waste pipe C can empty the cistern in one hour. If both the pipes A and B and the waste pipe C are opened simultaneously and initially the cistern is empty, then the cistern will be filled in
- a)15 minutes
- b)14 minutes
- c)13 minutes
- d)None of these
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
Pipes A and B can fill a cistern individually in 20 minutes and 30 min...
Net part filled in 1min 
∴ The tank will be full in 15/1 min i.e., 15 min
∴ The tank will be full in 15/1 min i.e., 15 min
Most Upvoted Answer
Pipes A and B can fill a cistern individually in 20 minutes and 30 min...
Given:
Time taken by pipe A to fill the cistern = 20 minutes
Time taken by pipe B to fill the cistern = 30 minutes
Time taken by pipe C to empty the cistern = 60 minutes
To find:
Time taken by all three pipes working together to fill the cistern.
Solution:
Let us assume that the capacity of the cistern is 60 liters (LCM of 20, 30, and 60).
In 1 minute:
Pipe A can fill 60/20 = 3 liters
Pipe B can fill 60/30 = 2 liters
Pipe C can empty 60/60 = 1 liter
When all three pipes are opened simultaneously, the effective rate of filling the cistern will be:
= (Pipe A's rate + Pipe B's rate) - Pipe C's rate
= (3 + 2) - 1
= 4 liters per minute
Therefore, the time taken to fill the cistern will be:
= Capacity of the cistern / Effective rate of filling
= 60 / 4
= 15 minutes
Hence, the correct option is (a) 15 minutes.
Time taken by pipe A to fill the cistern = 20 minutes
Time taken by pipe B to fill the cistern = 30 minutes
Time taken by pipe C to empty the cistern = 60 minutes
To find:
Time taken by all three pipes working together to fill the cistern.
Solution:
Let us assume that the capacity of the cistern is 60 liters (LCM of 20, 30, and 60).
In 1 minute:
Pipe A can fill 60/20 = 3 liters
Pipe B can fill 60/30 = 2 liters
Pipe C can empty 60/60 = 1 liter
When all three pipes are opened simultaneously, the effective rate of filling the cistern will be:
= (Pipe A's rate + Pipe B's rate) - Pipe C's rate
= (3 + 2) - 1
= 4 liters per minute
Therefore, the time taken to fill the cistern will be:
= Capacity of the cistern / Effective rate of filling
= 60 / 4
= 15 minutes
Hence, the correct option is (a) 15 minutes.
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Pipes A and B can fill a cistern individually in 20 minutes and 30 minutes respectively. A third waste pipe C can empty the cistern in one hour. If both the pipes A and B and the waste pipe C are opened simultaneously and initially the cistern is empty, then the cistern will be filled ina)15 minutesb)14 minutesc)13 minutesd)None of theseCorrect answer is option 'A'. Can you explain this answer?
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Pipes A and B can fill a cistern individually in 20 minutes and 30 minutes respectively. A third waste pipe C can empty the cistern in one hour. If both the pipes A and B and the waste pipe C are opened simultaneously and initially the cistern is empty, then the cistern will be filled ina)15 minutesb)14 minutesc)13 minutesd)None of theseCorrect answer is option 'A'. Can you explain this answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Pipes A and B can fill a cistern individually in 20 minutes and 30 minutes respectively. A third waste pipe C can empty the cistern in one hour. If both the pipes A and B and the waste pipe C are opened simultaneously and initially the cistern is empty, then the cistern will be filled ina)15 minutesb)14 minutesc)13 minutesd)None of theseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Pipes A and B can fill a cistern individually in 20 minutes and 30 minutes respectively. A third waste pipe C can empty the cistern in one hour. If both the pipes A and B and the waste pipe C are opened simultaneously and initially the cistern is empty, then the cistern will be filled ina)15 minutesb)14 minutesc)13 minutesd)None of theseCorrect answer is option 'A'. Can you explain this answer?.
Pipes A and B can fill a cistern individually in 20 minutes and 30 minutes respectively. A third waste pipe C can empty the cistern in one hour. If both the pipes A and B and the waste pipe C are opened simultaneously and initially the cistern is empty, then the cistern will be filled ina)15 minutesb)14 minutesc)13 minutesd)None of theseCorrect answer is option 'A'. Can you explain this answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Pipes A and B can fill a cistern individually in 20 minutes and 30 minutes respectively. A third waste pipe C can empty the cistern in one hour. If both the pipes A and B and the waste pipe C are opened simultaneously and initially the cistern is empty, then the cistern will be filled ina)15 minutesb)14 minutesc)13 minutesd)None of theseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Pipes A and B can fill a cistern individually in 20 minutes and 30 minutes respectively. A third waste pipe C can empty the cistern in one hour. If both the pipes A and B and the waste pipe C are opened simultaneously and initially the cistern is empty, then the cistern will be filled ina)15 minutesb)14 minutesc)13 minutesd)None of theseCorrect answer is option 'A'. Can you explain this answer?.
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