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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...
Given data:
- 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.
To find: The time taken by pipe P and R together to fill the tank.
Let's assume the efficiency of pipe P is x units of work per minute, the efficiency of pipe Q is y units of work per minute, and the efficiency of pipe R is z units of work per minute.
From the given data, we can form the following equations:
1) (x + y) = 1/24 (Pipes P and Q can fill the tank in 24 minutes)
2) (y + z) = 1/60 (Pipes Q and R can fill the tank in 60 minutes)
3) (y + z) = 1/30 (Pipes Q and R can fill the tank in 30 minutes)
From equations 2 and 3, we can conclude that the efficiency of pipe R (z) is the same in both cases. Therefore, we can equate the right sides of equations 2 and 3:
1/60 = 1/30
1/60 - 1/30 = 0
(2 - 1)/60 = 0
1/60 = 0 [This is not possible]
Hence, there is an error in the data given. Please recheck the values provided and ensure they are correct.
- 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.
To find: The time taken by pipe P and R together to fill the tank.
Let's assume the efficiency of pipe P is x units of work per minute, the efficiency of pipe Q is y units of work per minute, and the efficiency of pipe R is z units of work per minute.
From the given data, we can form the following equations:
1) (x + y) = 1/24 (Pipes P and Q can fill the tank in 24 minutes)
2) (y + z) = 1/60 (Pipes Q and R can fill the tank in 60 minutes)
3) (y + z) = 1/30 (Pipes Q and R can fill the tank in 30 minutes)
From equations 2 and 3, we can conclude that the efficiency of pipe R (z) is the same in both cases. Therefore, we can equate the right sides of equations 2 and 3:
1/60 = 1/30
1/60 - 1/30 = 0
(2 - 1)/60 = 0
1/60 = 0 [This is not possible]
Hence, there is an error in the data given. Please recheck the values provided and ensure they are correct.
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Community 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 minuets
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 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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