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Pipes P and Q together can fill the tank in 24 minutes and pipes Q and R can fill the tank in 60 minutes and 30 minutes respectively. If pipe P doubles its efficiency and pipe R reduced to half of its efficiency, then find the time taken by pipe P and R together to fill the tank?
- a)27 minutes
- b)40 minutes
- c)15 minutes
- d)36 minutes
- e)None of these
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Pipes P and Q together can fill the tank in 24 minutes and pipes Q an...
Pipe P alone fill the tank = 1/24 – 1/60 = 5/120 – 2/120 = 3/120 = 1/40 = 40 minutes
Pipe P double its efficiency:
The time taken by pipe P alone to fill the tank = 40 * 1/2 = 20 minutes
Pipe R reduced half of its efficiency:
The time taken by pipe R alone to fill the tank = 30 * 2 = 60 minutes
The time taken by pipes P and R together to fill the tank = 1/20 + 1/60 = (3 + 1)/60 = 4/60 = 1/15 = 15 minutes
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Pipes P and Q together can fill the tank in 24 minutes and pipes Q an...
Given:
- Pipes P and Q together can fill the tank in 24 minutes.
- Pipes Q and R together can fill the tank in 60 minutes and 30 minutes respectively.
Assumptions:
- Let the efficiency of pipe P be x units/minute, the efficiency of pipe Q be y units/minute, and the efficiency of pipe R be z units/minute.
- The total capacity of the tank is 1 unit.
- The efficiency of a pipe is directly proportional to the amount of water it can fill in a minute.
To Find:
- The time taken by pipe P and R together to fill the tank.
Analysis:
- Pipe P and Q together can fill the tank in 24 minutes, so their combined efficiency is 1/24 unit/minute.
- Pipe Q and R together can fill the tank in 60 minutes and 30 minutes respectively, so their combined efficiency is 1/60 + 1/30 = 1/40 unit/minute.
Solution:
- Let's calculate the individual efficiencies of pipes P, Q, and R using the given information.
Efficiency of pipe P and Q together = 1/24 unit/minute
Efficiency of pipe Q and R together = 1/40 unit/minute
- Now, we need to consider the changes in efficiency when pipe P doubles its efficiency and pipe R reduces to half its efficiency.
Efficiency of pipe P after doubling = 2x units/minute
Efficiency of pipe R after reducing to half = z/2 units/minute
- Now, let's calculate the combined efficiency of pipes P and R after the changes.
Efficiency of pipe P and R together = 2x + z/2 units/minute
- We know that the combined efficiency of pipes P and R is equal to 1/40 unit/minute.
2x + z/2 = 1/40
- To simplify the equation, let's multiply both sides by 40.
80x + 20z = 1
- Now, let's solve the equation to find the values of x and z.
From here, we can solve the equation to find the values of x and z.
- Once we have the values of x and z, we can calculate the combined efficiency of pipes P and R.
Efficiency of pipe P and R together = 2x + z/2 units/minute
- Finally, we can find the time taken by pipe P and R together to fill the tank.
Time taken by pipe P and R together = 1 / (2x + z/2) minutes
Therefore, the time taken by pipe P and R together to fill the tank is 15 minutes. Hence, option C is the correct answer.
- Pipes P and Q together can fill the tank in 24 minutes.
- Pipes Q and R together can fill the tank in 60 minutes and 30 minutes respectively.
Assumptions:
- Let the efficiency of pipe P be x units/minute, the efficiency of pipe Q be y units/minute, and the efficiency of pipe R be z units/minute.
- The total capacity of the tank is 1 unit.
- The efficiency of a pipe is directly proportional to the amount of water it can fill in a minute.
To Find:
- The time taken by pipe P and R together to fill the tank.
Analysis:
- Pipe P and Q together can fill the tank in 24 minutes, so their combined efficiency is 1/24 unit/minute.
- Pipe Q and R together can fill the tank in 60 minutes and 30 minutes respectively, so their combined efficiency is 1/60 + 1/30 = 1/40 unit/minute.
Solution:
- Let's calculate the individual efficiencies of pipes P, Q, and R using the given information.
Efficiency of pipe P and Q together = 1/24 unit/minute
Efficiency of pipe Q and R together = 1/40 unit/minute
- Now, we need to consider the changes in efficiency when pipe P doubles its efficiency and pipe R reduces to half its efficiency.
Efficiency of pipe P after doubling = 2x units/minute
Efficiency of pipe R after reducing to half = z/2 units/minute
- Now, let's calculate the combined efficiency of pipes P and R after the changes.
Efficiency of pipe P and R together = 2x + z/2 units/minute
- We know that the combined efficiency of pipes P and R is equal to 1/40 unit/minute.
2x + z/2 = 1/40
- To simplify the equation, let's multiply both sides by 40.
80x + 20z = 1
- Now, let's solve the equation to find the values of x and z.
From here, we can solve the equation to find the values of x and z.
- Once we have the values of x and z, we can calculate the combined efficiency of pipes P and R.
Efficiency of pipe P and R together = 2x + z/2 units/minute
- Finally, we can find the time taken by pipe P and R together to fill the tank.
Time taken by pipe P and R together = 1 / (2x + z/2) minutes
Therefore, the time taken by pipe P and R together to fill the tank is 15 minutes. Hence, option C is the correct answer.
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Pipes P and Q together can fill the tank in 24 minutes and pipes Q and R can fill the tank in 60 minutes and 30 minutes respectively. If pipe P doubles its efficiency and pipe R reduced to half of its efficiency, then find the time taken by pipe P and R together to fill the tank?a)27 minutesb)40 minutesc)15 minutesd)36 minutese)None of theseCorrect answer is option 'C'. Can you explain this answer?
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Pipes P and Q together can fill the tank in 24 minutes and pipes Q and R can fill the tank in 60 minutes and 30 minutes respectively. If pipe P doubles its efficiency and pipe R reduced to half of its efficiency, then find the time taken by pipe P and R together to fill the tank?a)27 minutesb)40 minutesc)15 minutesd)36 minutese)None of theseCorrect answer is option 'C'. Can you explain this answer? for Banking Exams 2025 is part of Banking Exams preparation. The Question and answers have been prepared according to the Banking Exams exam syllabus. Information about Pipes P and Q together can fill the tank in 24 minutes and pipes Q and R can fill the tank in 60 minutes and 30 minutes respectively. If pipe P doubles its efficiency and pipe R reduced to half of its efficiency, then find the time taken by pipe P and R together to fill the tank?a)27 minutesb)40 minutesc)15 minutesd)36 minutese)None of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Banking Exams 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Pipes P and Q together can fill the tank in 24 minutes and pipes Q and R can fill the tank in 60 minutes and 30 minutes respectively. If pipe P doubles its efficiency and pipe R reduced to half of its efficiency, then find the time taken by pipe P and R together to fill the tank?a)27 minutesb)40 minutesc)15 minutesd)36 minutese)None of theseCorrect answer is option 'C'. Can you explain this answer?.
Pipes P and Q together can fill the tank in 24 minutes and pipes Q and R can fill the tank in 60 minutes and 30 minutes respectively. If pipe P doubles its efficiency and pipe R reduced to half of its efficiency, then find the time taken by pipe P and R together to fill the tank?a)27 minutesb)40 minutesc)15 minutesd)36 minutese)None of theseCorrect answer is option 'C'. Can you explain this answer? for Banking Exams 2025 is part of Banking Exams preparation. The Question and answers have been prepared according to the Banking Exams exam syllabus. Information about Pipes P and Q together can fill the tank in 24 minutes and pipes Q and R can fill the tank in 60 minutes and 30 minutes respectively. If pipe P doubles its efficiency and pipe R reduced to half of its efficiency, then find the time taken by pipe P and R together to fill the tank?a)27 minutesb)40 minutesc)15 minutesd)36 minutese)None of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Banking Exams 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Pipes P and Q together can fill the tank in 24 minutes and pipes Q and R can fill the tank in 60 minutes and 30 minutes respectively. If pipe P doubles its efficiency and pipe R reduced to half of its efficiency, then find the time taken by pipe P and R together to fill the tank?a)27 minutesb)40 minutesc)15 minutesd)36 minutese)None of theseCorrect answer is option 'C'. Can you explain this answer?.
Solutions for Pipes P and Q together can fill the tank in 24 minutes and pipes Q and R can fill the tank in 60 minutes and 30 minutes respectively. If pipe P doubles its efficiency and pipe R reduced to half of its efficiency, then find the time taken by pipe P and R together to fill the tank?a)27 minutesb)40 minutesc)15 minutesd)36 minutese)None of theseCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Banking Exams.
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