Quant Exam > Quant Questions > Two pipes P and Q can fill a tank in 20hrs an...
Start Learning for Free
Two pipes P and Q can fill a tank in 20hrs and 25hrs respectively while a third pipe R can empty the tank in 30hrs. If all the pipes are opened together for 10hrs and then pipe R is closed then in what time the tank can be filled.
- a)400/23hrs
- b)400/27hrs
- c)200/23hrs
- d)200/27hrs
- e)None of these
Correct answer is option 'B'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
Two pipes P and Q can fill a tank in 20hrs and 25hrs respectively whil...
(1/20 + 1/25 – 1/30)*10 + (1/20 + 1/25)*x = 1
We get x = 130/27, so total time to fill the tank = 130/27 + 10 = 400/27 hrs
We get x = 130/27, so total time to fill the tank = 130/27 + 10 = 400/27 hrs
Most Upvoted Answer
Two pipes P and Q can fill a tank in 20hrs and 25hrs respectively whil...
Given:
Pipe P can fill the tank in 20 hours
Pipe Q can fill the tank in 25 hours
Pipe R can empty the tank in 30 hours
All pipes were opened together for 10 hours and then pipe R was closed.
To find:
In how much time the tank can be filled.
Solution:
Let us assume the capacity of the tank to be 100 units.
Pipe P can fill 5 units/hour (100/20)
Pipe Q can fill 4 units/hour (100/25)
Pipe R can empty 3.33 units/hour (100/30)
When all pipes are opened together for 10 hours, the net inflow into the tank is:
Inflow = (P+Q-R)*10
Inflow = (5+4-3.33)*10
Inflow = 16.7 units
After 10 hours, let x hours be required to fill the remaining part of the tank.
So, the remaining part of the tank will be:
Remaining part of the tank = (100 - 16.7) = 83.3 units
Now, only pipes P and Q will be opened for x hours.
Inflow by P and Q = (P+Q)*x
Inflow by P and Q = (5+4)*x
Inflow by P and Q = 9x
Now, the inflow and outflow are equal when the tank is filled.
So, we can write:
Inflow by P and Q = Outflow by R
9x = 3.33(10)
x = 37.8 hours
Therefore, the total time taken to fill the tank = 10 + 37.8 = 47.8 hours
Hence, the correct option is (B) 400/27 hours.
Pipe P can fill the tank in 20 hours
Pipe Q can fill the tank in 25 hours
Pipe R can empty the tank in 30 hours
All pipes were opened together for 10 hours and then pipe R was closed.
To find:
In how much time the tank can be filled.
Solution:
Let us assume the capacity of the tank to be 100 units.
Pipe P can fill 5 units/hour (100/20)
Pipe Q can fill 4 units/hour (100/25)
Pipe R can empty 3.33 units/hour (100/30)
When all pipes are opened together for 10 hours, the net inflow into the tank is:
Inflow = (P+Q-R)*10
Inflow = (5+4-3.33)*10
Inflow = 16.7 units
After 10 hours, let x hours be required to fill the remaining part of the tank.
So, the remaining part of the tank will be:
Remaining part of the tank = (100 - 16.7) = 83.3 units
Now, only pipes P and Q will be opened for x hours.
Inflow by P and Q = (P+Q)*x
Inflow by P and Q = (5+4)*x
Inflow by P and Q = 9x
Now, the inflow and outflow are equal when the tank is filled.
So, we can write:
Inflow by P and Q = Outflow by R
9x = 3.33(10)
x = 37.8 hours
Therefore, the total time taken to fill the tank = 10 + 37.8 = 47.8 hours
Hence, the correct option is (B) 400/27 hours.
Free Test
FREE
| Start Free Test |
Community Answer
Two pipes P and Q can fill a tank in 20hrs and 25hrs respectively whil...
(1/20 + 1/25 – 1/30)*10 + (1/20 + 1/25)*x = 1
We get x = 130/27, so total time to fill the tank = 130/27 + 10 = 400/27 hrs
We get x = 130/27, so total time to fill the tank = 130/27 + 10 = 400/27 hrs
|
Explore Courses for Quant exam
|
|
Similar Quant Doubts
Two pipes P and Q can fill a tank in 20hrs and 25hrs respectively while a third pipe R can empty the tank in 30hrs. If all the pipes are opened together for 10hrs and then pipe R is closed then in what time the tank can be filled.a)400/23hrsb)400/27hrsc)200/23hrsd)200/27hrse)None of theseCorrect answer is option 'B'. Can you explain this answer?
Question Description
Two pipes P and Q can fill a tank in 20hrs and 25hrs respectively while a third pipe R can empty the tank in 30hrs. If all the pipes are opened together for 10hrs and then pipe R is closed then in what time the tank can be filled.a)400/23hrsb)400/27hrsc)200/23hrsd)200/27hrse)None of theseCorrect answer is option 'B'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Two pipes P and Q can fill a tank in 20hrs and 25hrs respectively while a third pipe R can empty the tank in 30hrs. If all the pipes are opened together for 10hrs and then pipe R is closed then in what time the tank can be filled.a)400/23hrsb)400/27hrsc)200/23hrsd)200/27hrse)None of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two pipes P and Q can fill a tank in 20hrs and 25hrs respectively while a third pipe R can empty the tank in 30hrs. If all the pipes are opened together for 10hrs and then pipe R is closed then in what time the tank can be filled.a)400/23hrsb)400/27hrsc)200/23hrsd)200/27hrse)None of theseCorrect answer is option 'B'. Can you explain this answer?.
Two pipes P and Q can fill a tank in 20hrs and 25hrs respectively while a third pipe R can empty the tank in 30hrs. If all the pipes are opened together for 10hrs and then pipe R is closed then in what time the tank can be filled.a)400/23hrsb)400/27hrsc)200/23hrsd)200/27hrse)None of theseCorrect answer is option 'B'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Two pipes P and Q can fill a tank in 20hrs and 25hrs respectively while a third pipe R can empty the tank in 30hrs. If all the pipes are opened together for 10hrs and then pipe R is closed then in what time the tank can be filled.a)400/23hrsb)400/27hrsc)200/23hrsd)200/27hrse)None of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two pipes P and Q can fill a tank in 20hrs and 25hrs respectively while a third pipe R can empty the tank in 30hrs. If all the pipes are opened together for 10hrs and then pipe R is closed then in what time the tank can be filled.a)400/23hrsb)400/27hrsc)200/23hrsd)200/27hrse)None of theseCorrect answer is option 'B'. Can you explain this answer?.
Solutions for Two pipes P and Q can fill a tank in 20hrs and 25hrs respectively while a third pipe R can empty the tank in 30hrs. If all the pipes are opened together for 10hrs and then pipe R is closed then in what time the tank can be filled.a)400/23hrsb)400/27hrsc)200/23hrsd)200/27hrse)None of theseCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Quant.
Download more important topics, notes, lectures and mock test series for Quant Exam by signing up for free.
Here you can find the meaning of Two pipes P and Q can fill a tank in 20hrs and 25hrs respectively while a third pipe R can empty the tank in 30hrs. If all the pipes are opened together for 10hrs and then pipe R is closed then in what time the tank can be filled.a)400/23hrsb)400/27hrsc)200/23hrsd)200/27hrse)None of theseCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Two pipes P and Q can fill a tank in 20hrs and 25hrs respectively while a third pipe R can empty the tank in 30hrs. If all the pipes are opened together for 10hrs and then pipe R is closed then in what time the tank can be filled.a)400/23hrsb)400/27hrsc)200/23hrsd)200/27hrse)None of theseCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for Two pipes P and Q can fill a tank in 20hrs and 25hrs respectively while a third pipe R can empty the tank in 30hrs. If all the pipes are opened together for 10hrs and then pipe R is closed then in what time the tank can be filled.a)400/23hrsb)400/27hrsc)200/23hrsd)200/27hrse)None of theseCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of Two pipes P and Q can fill a tank in 20hrs and 25hrs respectively while a third pipe R can empty the tank in 30hrs. If all the pipes are opened together for 10hrs and then pipe R is closed then in what time the tank can be filled.a)400/23hrsb)400/27hrsc)200/23hrsd)200/27hrse)None of theseCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Two pipes P and Q can fill a tank in 20hrs and 25hrs respectively while a third pipe R can empty the tank in 30hrs. If all the pipes are opened together for 10hrs and then pipe R is closed then in what time the tank can be filled.a)400/23hrsb)400/27hrsc)200/23hrsd)200/27hrse)None of theseCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice Quant tests.
|
|
Explore Courses for Quant exam
|
|
Suggested Free Tests
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