Quant Exam > Quant Questions > Two pipes P and Q can fill a tank in 24 minut...
Start Learning for Free
Two pipes P and Q can fill a tank in 24 minutes and 27 minutes respectively. If both the pipes are opened simultaneously, after how much time should B be closed so that the tank is full in 8 minutes?
- a)14 minutes
- b)12 minutes
- c)15 minutes
- d)18 minutes
- e)None of the Above
Correct answer is option 'D'. 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 24 minutes and 27 minutes respect...
Required time = y(1-(t/x)) = 27(1-(8/24))= 18 minutes
Most Upvoted Answer
Two pipes P and Q can fill a tank in 24 minutes and 27 minutes respect...
Free Test
FREE
| Start Free Test |
Community Answer
Two pipes P and Q can fill a tank in 24 minutes and 27 minutes respect...
Problem Statement:
Two pipes P and Q can fill a tank in 24 minutes and 27 minutes respectively. If both the pipes are opened simultaneously, after how much time should B be closed so that the tank is full in 8 minutes?
Solution:
Let the time for which Pipe Q should be open be x minutes.
Pipe P fills the tank in 24 minutes, so in 1 minute it can fill 1/24th of the tank.
Pipe Q fills the tank in 27 minutes, so in 1 minute it can fill 1/27th of the tank.
If both pipes are opened, then in 1 minute they can fill (1/24 + 1/27) of the tank.
So, in 8 minutes they can fill (8/24 + 8/27) of the tank.
We need to find the time for which Pipe Q should be open, so that the tank is full in 8 minutes.
Let the volume of the tank be V.
According to the problem statement, we have:
(V/(8-x)) = (8/24 + 8/27)
Simplifying this equation, we get:
V = (8/24 + 8/27) * (8-x)
V = (2/3 + 8/27) * (8-x)
V = (70/81) * (8-x)
V = 560/81 - (70/81)x
Now, since Pipe Q should be closed before the tank is full, we have:
V = (1/24)*8 + (1/27)*x
V = 1/3 + (1/27)*x
Substituting the value of V from the previous equation, we get:
560/81 - (70/81)x = 1/3 + (1/27)*x
Solving for x, we get:
x = 18 minutes
Therefore, Pipe Q should be closed after 18 minutes of opening both the pipes so that the tank is full in 8 minutes.
Two pipes P and Q can fill a tank in 24 minutes and 27 minutes respectively. If both the pipes are opened simultaneously, after how much time should B be closed so that the tank is full in 8 minutes?
Solution:
Let the time for which Pipe Q should be open be x minutes.
Pipe P fills the tank in 24 minutes, so in 1 minute it can fill 1/24th of the tank.
Pipe Q fills the tank in 27 minutes, so in 1 minute it can fill 1/27th of the tank.
If both pipes are opened, then in 1 minute they can fill (1/24 + 1/27) of the tank.
So, in 8 minutes they can fill (8/24 + 8/27) of the tank.
We need to find the time for which Pipe Q should be open, so that the tank is full in 8 minutes.
Let the volume of the tank be V.
According to the problem statement, we have:
(V/(8-x)) = (8/24 + 8/27)
Simplifying this equation, we get:
V = (8/24 + 8/27) * (8-x)
V = (2/3 + 8/27) * (8-x)
V = (70/81) * (8-x)
V = 560/81 - (70/81)x
Now, since Pipe Q should be closed before the tank is full, we have:
V = (1/24)*8 + (1/27)*x
V = 1/3 + (1/27)*x
Substituting the value of V from the previous equation, we get:
560/81 - (70/81)x = 1/3 + (1/27)*x
Solving for x, we get:
x = 18 minutes
Therefore, Pipe Q should be closed after 18 minutes of opening both the pipes so that the tank is full in 8 minutes.
|
Explore Courses for Quant exam
|
|
Similar Quant Doubts
Two pipes P and Q can fill a tank in 24 minutes and 27 minutes respectively. If both the pipes are opened simultaneously, after how much time should B be closed so that the tank is full in 8 minutes?a)14 minutesb)12 minutesc)15 minutesd)18 minutese)None of the AboveCorrect answer is option 'D'. Can you explain this answer?
Question Description
Two pipes P and Q can fill a tank in 24 minutes and 27 minutes respectively. If both the pipes are opened simultaneously, after how much time should B be closed so that the tank is full in 8 minutes?a)14 minutesb)12 minutesc)15 minutesd)18 minutese)None of the AboveCorrect answer is option 'D'. 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 24 minutes and 27 minutes respectively. If both the pipes are opened simultaneously, after how much time should B be closed so that the tank is full in 8 minutes?a)14 minutesb)12 minutesc)15 minutesd)18 minutese)None of the AboveCorrect answer is option 'D'. 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 24 minutes and 27 minutes respectively. If both the pipes are opened simultaneously, after how much time should B be closed so that the tank is full in 8 minutes?a)14 minutesb)12 minutesc)15 minutesd)18 minutese)None of the AboveCorrect answer is option 'D'. Can you explain this answer?.
Two pipes P and Q can fill a tank in 24 minutes and 27 minutes respectively. If both the pipes are opened simultaneously, after how much time should B be closed so that the tank is full in 8 minutes?a)14 minutesb)12 minutesc)15 minutesd)18 minutese)None of the AboveCorrect answer is option 'D'. 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 24 minutes and 27 minutes respectively. If both the pipes are opened simultaneously, after how much time should B be closed so that the tank is full in 8 minutes?a)14 minutesb)12 minutesc)15 minutesd)18 minutese)None of the AboveCorrect answer is option 'D'. 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 24 minutes and 27 minutes respectively. If both the pipes are opened simultaneously, after how much time should B be closed so that the tank is full in 8 minutes?a)14 minutesb)12 minutesc)15 minutesd)18 minutese)None of the AboveCorrect answer is option 'D'. Can you explain this answer?.
Solutions for Two pipes P and Q can fill a tank in 24 minutes and 27 minutes respectively. If both the pipes are opened simultaneously, after how much time should B be closed so that the tank is full in 8 minutes?a)14 minutesb)12 minutesc)15 minutesd)18 minutese)None of the AboveCorrect answer is option 'D'. 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 24 minutes and 27 minutes respectively. If both the pipes are opened simultaneously, after how much time should B be closed so that the tank is full in 8 minutes?a)14 minutesb)12 minutesc)15 minutesd)18 minutese)None of the AboveCorrect answer is option 'D'. 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 24 minutes and 27 minutes respectively. If both the pipes are opened simultaneously, after how much time should B be closed so that the tank is full in 8 minutes?a)14 minutesb)12 minutesc)15 minutesd)18 minutese)None of the AboveCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for Two pipes P and Q can fill a tank in 24 minutes and 27 minutes respectively. If both the pipes are opened simultaneously, after how much time should B be closed so that the tank is full in 8 minutes?a)14 minutesb)12 minutesc)15 minutesd)18 minutese)None of the AboveCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of Two pipes P and Q can fill a tank in 24 minutes and 27 minutes respectively. If both the pipes are opened simultaneously, after how much time should B be closed so that the tank is full in 8 minutes?a)14 minutesb)12 minutesc)15 minutesd)18 minutese)None of the AboveCorrect answer is option 'D'. 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 24 minutes and 27 minutes respectively. If both the pipes are opened simultaneously, after how much time should B be closed so that the tank is full in 8 minutes?a)14 minutesb)12 minutesc)15 minutesd)18 minutese)None of the AboveCorrect answer is option 'D'. Can you explain this answer? tests, examples and also practice Quant tests.
|
|
Explore Courses for Quant 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
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup