Quant Exam > Quant Questions > Two pipes P and Q are opened together to fill...
Start Learning for Free
Two pipes P and Q are opened together to fill a tank. Both the pipes fill the tank in time “x” If Q separately took 25 minutes more time than “x” to fill the tank and Q took 49 minutes more time than “x” to fill the tank, then find out the value of x?
- a)48 minutes
- b)35 minutes
- c)54 minutes
- d)68 minutes
- e)None of the Above
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Two pipes P and Q are opened together to fill a tank. Both the pipes f...
Time is taken to fill the tank by both Pipes x = √a*b
x = √25*49 = 5 * 7 = 35
x = √25*49 = 5 * 7 = 35
Free Test
FREE
| Start Free Test |
Community Answer
Two pipes P and Q are opened together to fill a tank. Both the pipes f...
Let the time taken by pipe P to fill the tank be p minutes and the time taken by pipe Q to fill the tank be q minutes.
According to the given information, the combined rate of pipe P and Q is equal to 1 tank per p + q minutes.
Therefore, the equation representing the combined rate is:
1/(p + q) = 1/p + 1/q
To solve this equation, we can multiply both sides by p*q*(p+q) to get:
q(p+q) + p(p+q) = p*q
Expanding and simplifying:
q^2 + pq + p^2 + pq = p*q
Combining like terms:
q^2 + 2pq + p^2 = p*q
Rearranging:
q^2 - pq + p^2 = 0
This equation can be factored as:
(q-p)(q-p) = 0
Therefore, either q-p=0 or q=p.
If q-p=0, then q=p, which means the time taken by pipe P and Q to fill the tank is the same.
If q=p, then the time taken by pipe P and Q to fill the tank is equal.
In both cases, the time taken by pipe P and Q to fill the tank is equal.
According to the given information, the combined rate of pipe P and Q is equal to 1 tank per p + q minutes.
Therefore, the equation representing the combined rate is:
1/(p + q) = 1/p + 1/q
To solve this equation, we can multiply both sides by p*q*(p+q) to get:
q(p+q) + p(p+q) = p*q
Expanding and simplifying:
q^2 + pq + p^2 + pq = p*q
Combining like terms:
q^2 + 2pq + p^2 = p*q
Rearranging:
q^2 - pq + p^2 = 0
This equation can be factored as:
(q-p)(q-p) = 0
Therefore, either q-p=0 or q=p.
If q-p=0, then q=p, which means the time taken by pipe P and Q to fill the tank is the same.
If q=p, then the time taken by pipe P and Q to fill the tank is equal.
In both cases, the time taken by pipe P and Q to fill the tank is equal.
|
Explore Courses for Quant exam
|
|
Similar Quant Doubts
Two pipes P and Q are opened together to fill a tank. Both the pipes fill the tank in time “x” If Q separately took 25 minutes more time than “x” to fill the tank and Q took 49 minutes more time than “x” to fill the tank, then find out the value of x?a)48 minutesb)35 minutesc)54 minutesd)68 minutese)None of the AboveCorrect answer is option 'B'. Can you explain this answer?
Question Description
Two pipes P and Q are opened together to fill a tank. Both the pipes fill the tank in time “x” If Q separately took 25 minutes more time than “x” to fill the tank and Q took 49 minutes more time than “x” to fill the tank, then find out the value of x?a)48 minutesb)35 minutesc)54 minutesd)68 minutese)None of the AboveCorrect answer is option 'B'. Can you explain this answer? for Quant 2025 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 are opened together to fill a tank. Both the pipes fill the tank in time “x” If Q separately took 25 minutes more time than “x” to fill the tank and Q took 49 minutes more time than “x” to fill the tank, then find out the value of x?a)48 minutesb)35 minutesc)54 minutesd)68 minutese)None of the AboveCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two pipes P and Q are opened together to fill a tank. Both the pipes fill the tank in time “x” If Q separately took 25 minutes more time than “x” to fill the tank and Q took 49 minutes more time than “x” to fill the tank, then find out the value of x?a)48 minutesb)35 minutesc)54 minutesd)68 minutese)None of the AboveCorrect answer is option 'B'. Can you explain this answer?.
Two pipes P and Q are opened together to fill a tank. Both the pipes fill the tank in time “x” If Q separately took 25 minutes more time than “x” to fill the tank and Q took 49 minutes more time than “x” to fill the tank, then find out the value of x?a)48 minutesb)35 minutesc)54 minutesd)68 minutese)None of the AboveCorrect answer is option 'B'. Can you explain this answer? for Quant 2025 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 are opened together to fill a tank. Both the pipes fill the tank in time “x” If Q separately took 25 minutes more time than “x” to fill the tank and Q took 49 minutes more time than “x” to fill the tank, then find out the value of x?a)48 minutesb)35 minutesc)54 minutesd)68 minutese)None of the AboveCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two pipes P and Q are opened together to fill a tank. Both the pipes fill the tank in time “x” If Q separately took 25 minutes more time than “x” to fill the tank and Q took 49 minutes more time than “x” to fill the tank, then find out the value of x?a)48 minutesb)35 minutesc)54 minutesd)68 minutese)None of the AboveCorrect answer is option 'B'. Can you explain this answer?.
Solutions for Two pipes P and Q are opened together to fill a tank. Both the pipes fill the tank in time “x” If Q separately took 25 minutes more time than “x” to fill the tank and Q took 49 minutes more time than “x” to fill the tank, then find out the value of x?a)48 minutesb)35 minutesc)54 minutesd)68 minutese)None of the AboveCorrect 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 are opened together to fill a tank. Both the pipes fill the tank in time “x” If Q separately took 25 minutes more time than “x” to fill the tank and Q took 49 minutes more time than “x” to fill the tank, then find out the value of x?a)48 minutesb)35 minutesc)54 minutesd)68 minutese)None of the AboveCorrect 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 are opened together to fill a tank. Both the pipes fill the tank in time “x” If Q separately took 25 minutes more time than “x” to fill the tank and Q took 49 minutes more time than “x” to fill the tank, then find out the value of x?a)48 minutesb)35 minutesc)54 minutesd)68 minutese)None of the AboveCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for Two pipes P and Q are opened together to fill a tank. Both the pipes fill the tank in time “x” If Q separately took 25 minutes more time than “x” to fill the tank and Q took 49 minutes more time than “x” to fill the tank, then find out the value of x?a)48 minutesb)35 minutesc)54 minutesd)68 minutese)None of the AboveCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of Two pipes P and Q are opened together to fill a tank. Both the pipes fill the tank in time “x” If Q separately took 25 minutes more time than “x” to fill the tank and Q took 49 minutes more time than “x” to fill the tank, then find out the value of x?a)48 minutesb)35 minutesc)54 minutesd)68 minutese)None of the AboveCorrect 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 are opened together to fill a tank. Both the pipes fill the tank in time “x” If Q separately took 25 minutes more time than “x” to fill the tank and Q took 49 minutes more time than “x” to fill the tank, then find out the value of x?a)48 minutesb)35 minutesc)54 minutesd)68 minutese)None of the AboveCorrect answer is option 'B'. 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
|
|
Signup to see your scores
go up
within 7 days!
within 7 days!
Takes less than 10 seconds to signup