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Two pipes P1 and P2 can fill a tank in 24 minutes and 30 minutes respectively. If both the pipes are opened simultaneously, after how much time should P2 be closed so that the tank is full in 20 minutes ?
- a)4 minute
- b)5 minute
- c)6 minute
- d)7 minute
- e)8 minute
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Two pipes P1 and P2 can fill a tank in 24 minutes and 30 minutes respe...
Let the pipe P2 is closed after ‘x’ mins.
x (1/24 + 1/30) + (20 - x) * 1/24 = 1
3x/40 + 5/6 - x/24 = 1
x = 5 mins
Most Upvoted Answer
Two pipes P1 and P2 can fill a tank in 24 minutes and 30 minutes respe...
Problem Analysis:
We are given the filling rates of two pipes, P1 and P2, and we need to determine when to close P2 so that the tank is filled in 20 minutes.
Solution:
Let's assume that P2 is closed after x minutes.
Filling rates:
- P1 fills the tank in 24 minutes, so its filling rate is 1/24 tanks per minute.
- P2 fills the tank in 30 minutes, so its filling rate is 1/30 tanks per minute.
Combined filling rate:
When both pipes are open, their combined filling rate is the sum of their individual filling rates.
So, the combined filling rate of P1 and P2 is (1/24 + 1/30) tanks per minute.
Filling time:
We want to determine when to close P2 so that the tank is filled in 20 minutes.
Let's calculate the filling time using the combined filling rate:
(1/24 + 1/30) * 20 = 20/24 + 20/30 = 5/6 + 2/3 = 5/6 + 4/6 = 9/6
Calculating x:
To find the time when P2 should be closed, we need to subtract the filling time from the total time.
x = 20 - 9/6 = 20 - 3/2 = 17/2 = 8.5 minutes
Therefore, P2 should be closed after 8.5 minutes, which is equivalent to 8 minutes and 30 seconds.
Conclusion:
To fill the tank in 20 minutes, P2 should be closed after 8 minutes and 30 seconds. The correct option is B) 5 minutes.
We are given the filling rates of two pipes, P1 and P2, and we need to determine when to close P2 so that the tank is filled in 20 minutes.
Solution:
Let's assume that P2 is closed after x minutes.
Filling rates:
- P1 fills the tank in 24 minutes, so its filling rate is 1/24 tanks per minute.
- P2 fills the tank in 30 minutes, so its filling rate is 1/30 tanks per minute.
Combined filling rate:
When both pipes are open, their combined filling rate is the sum of their individual filling rates.
So, the combined filling rate of P1 and P2 is (1/24 + 1/30) tanks per minute.
Filling time:
We want to determine when to close P2 so that the tank is filled in 20 minutes.
Let's calculate the filling time using the combined filling rate:
(1/24 + 1/30) * 20 = 20/24 + 20/30 = 5/6 + 2/3 = 5/6 + 4/6 = 9/6
Calculating x:
To find the time when P2 should be closed, we need to subtract the filling time from the total time.
x = 20 - 9/6 = 20 - 3/2 = 17/2 = 8.5 minutes
Therefore, P2 should be closed after 8.5 minutes, which is equivalent to 8 minutes and 30 seconds.
Conclusion:
To fill the tank in 20 minutes, P2 should be closed after 8 minutes and 30 seconds. The correct option is B) 5 minutes.
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Two pipes P1 and P2 can fill a tank in 24 minutes and 30 minutes respectively. If both the pipes are opened simultaneously, after how much time should P2 be closed so that the tank is full in 20 minutes ?a)4 minuteb)5 minutec)6 minuted)7 minutee)8 minuteCorrect answer is option 'B'. Can you explain this answer?
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Two pipes P1 and P2 can fill a tank in 24 minutes and 30 minutes respectively. If both the pipes are opened simultaneously, after how much time should P2 be closed so that the tank is full in 20 minutes ?a)4 minuteb)5 minutec)6 minuted)7 minutee)8 minuteCorrect answer is option 'B'. 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 Two pipes P1 and P2 can fill a tank in 24 minutes and 30 minutes respectively. If both the pipes are opened simultaneously, after how much time should P2 be closed so that the tank is full in 20 minutes ?a)4 minuteb)5 minutec)6 minuted)7 minutee)8 minuteCorrect answer is option 'B'. 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 Two pipes P1 and P2 can fill a tank in 24 minutes and 30 minutes respectively. If both the pipes are opened simultaneously, after how much time should P2 be closed so that the tank is full in 20 minutes ?a)4 minuteb)5 minutec)6 minuted)7 minutee)8 minuteCorrect answer is option 'B'. Can you explain this answer?.
Two pipes P1 and P2 can fill a tank in 24 minutes and 30 minutes respectively. If both the pipes are opened simultaneously, after how much time should P2 be closed so that the tank is full in 20 minutes ?a)4 minuteb)5 minutec)6 minuted)7 minutee)8 minuteCorrect answer is option 'B'. 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 Two pipes P1 and P2 can fill a tank in 24 minutes and 30 minutes respectively. If both the pipes are opened simultaneously, after how much time should P2 be closed so that the tank is full in 20 minutes ?a)4 minuteb)5 minutec)6 minuted)7 minutee)8 minuteCorrect answer is option 'B'. 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 Two pipes P1 and P2 can fill a tank in 24 minutes and 30 minutes respectively. If both the pipes are opened simultaneously, after how much time should P2 be closed so that the tank is full in 20 minutes ?a)4 minuteb)5 minutec)6 minuted)7 minutee)8 minuteCorrect answer is option 'B'. Can you explain this answer?.
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