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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 16 minutes more time than “x” to fill the tank and Q took 36 minutes more time than “x” to fill the tank, then find out the value of x?
- a)48 minutes
- b)24 minutes
- c)54 minutes
- d)68 minutes
- e)None of the Above
Correct answer is option 'B'. Can you explain this answer?
Verified 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 = √16*36 = 4 * 6 = 24
x = √16*36 = 4 * 6 = 24
Most Upvoted Answer
Two pipes P and Q are opened together to fill a tank. Both the pipes f...
Let's assume that pipe P fills the tank in x hours and pipe Q fills the tank in y hours.
The rate at which pipe P fills the tank is 1/x of the tank per hour.
The rate at which pipe Q fills the tank is 1/y of the tank per hour.
When both pipes are opened together, their rates are additive. Therefore, the combined rate of both pipes is (1/x) + (1/y) of the tank per hour.
Given that the tank is filled in 6 hours when both pipes are opened together, we can set up the following equation:
(1/x) + (1/y) = 1/6
To find the time it takes to fill the tank when only pipe P is opened, we can set up the following equation:
1/x = 1/6 - 1/y
Simplifying this equation, we can find the value of x:
1/x = (y - 6)/6y
Cross-multiplying, we get:
x = 6y/(y - 6)
Similarly, to find the time it takes to fill the tank when only pipe Q is opened, we can set up the following equation:
1/y = 1/6 - 1/x
Simplifying this equation, we can find the value of y:
1/y = (x - 6)/6x
Cross-multiplying, we get:
y = 6x/(x - 6)
Therefore, the time it takes to fill the tank when only pipe P is opened is 6y/(y - 6) hours, and the time it takes to fill the tank when only pipe Q is opened is 6x/(x - 6) hours.
The rate at which pipe P fills the tank is 1/x of the tank per hour.
The rate at which pipe Q fills the tank is 1/y of the tank per hour.
When both pipes are opened together, their rates are additive. Therefore, the combined rate of both pipes is (1/x) + (1/y) of the tank per hour.
Given that the tank is filled in 6 hours when both pipes are opened together, we can set up the following equation:
(1/x) + (1/y) = 1/6
To find the time it takes to fill the tank when only pipe P is opened, we can set up the following equation:
1/x = 1/6 - 1/y
Simplifying this equation, we can find the value of x:
1/x = (y - 6)/6y
Cross-multiplying, we get:
x = 6y/(y - 6)
Similarly, to find the time it takes to fill the tank when only pipe Q is opened, we can set up the following equation:
1/y = 1/6 - 1/x
Simplifying this equation, we can find the value of y:
1/y = (x - 6)/6x
Cross-multiplying, we get:
y = 6x/(x - 6)
Therefore, the time it takes to fill the tank when only pipe P is opened is 6y/(y - 6) hours, and the time it takes to fill the tank when only pipe Q is opened is 6x/(x - 6) hours.
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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 16 minutes more time than “x” to fill the tank and Q took 36 minutes more time than “x” to fill the tank, then find out the value of x?a)48 minutesb)24 minutesc)54 minutesd)68 minutese)None of the AboveCorrect answer is option 'B'. Can you explain this answer?
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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 16 minutes more time than “x” to fill the tank and Q took 36 minutes more time than “x” to fill the tank, then find out the value of x?a)48 minutesb)24 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 16 minutes more time than “x” to fill the tank and Q took 36 minutes more time than “x” to fill the tank, then find out the value of x?a)48 minutesb)24 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 16 minutes more time than “x” to fill the tank and Q took 36 minutes more time than “x” to fill the tank, then find out the value of x?a)48 minutesb)24 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 16 minutes more time than “x” to fill the tank and Q took 36 minutes more time than “x” to fill the tank, then find out the value of x?a)48 minutesb)24 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 16 minutes more time than “x” to fill the tank and Q took 36 minutes more time than “x” to fill the tank, then find out the value of x?a)48 minutesb)24 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 16 minutes more time than “x” to fill the tank and Q took 36 minutes more time than “x” to fill the tank, then find out the value of x?a)48 minutesb)24 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 16 minutes more time than “x” to fill the tank and Q took 36 minutes more time than “x” to fill the tank, then find out the value of x?a)48 minutesb)24 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.
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