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Two pipes A and B can fill a tank in 60 minutes and 75 minutes, respectively. There is also an outlet C. If A, B, and C are opened together, the tank is full in 50 minutes. How much time will be taken by C to empty the full tank?
- a)90 minutes
- b)100 minutes
- c)120 minutes
- d)110 minutes
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
Two pipes A and B can fill a tank in 60 minutes and 75 minutes, respec...
(A + B) eff = 9
(A + B - C) eff = 6
Sp, C eff = 3 units
C will empty the tank = 300/3 = 100 min.
Most Upvoted Answer
Two pipes A and B can fill a tank in 60 minutes and 75 minutes, respec...
Given:
Pipe A fills the tank in 60 minutes
Pipe B fills the tank in 75 minutes
A, B, and C together fill the tank in 50 minutes
To find:
Time taken by C to empty the full tank
Approach:
Let's assume that the capacity of the tank is 300 liters (LCM of 60 and 75).
The amount of water filled by pipe A in 1 minute = 300/60 = 5 liters/min
The amount of water filled by pipe B in 1 minute = 300/75 = 4 liters/min
Let's assume that the amount of water emptied by pipe C in 1 minute = x liters/min
As per the question, when A, B, and C are opened together, the tank is full in 50 minutes.
So, the total amount of water filled in 1 minute by A, B, and C together = 300/50 = 6 liters/min
Now, let's apply the law of conservation of mass, which states that the mass (or volume) of water entering the tank must be equal to the mass (or volume) of water leaving the tank.
The amount of water entering the tank in 1 minute = the amount of water leaving the tank in 1 minute
=> (5 + 4 - x) liters/min = 6 liters/min
=> x = 3 liters/min
Therefore, the amount of water emptied by pipe C in 1 minute = 3 liters/min
The capacity of the tank is 300 liters.
So, the time taken by pipe C to empty the full tank = 300/3 = 100 minutes.
Hence, the correct answer is option B (100 minutes).
Pipe A fills the tank in 60 minutes
Pipe B fills the tank in 75 minutes
A, B, and C together fill the tank in 50 minutes
To find:
Time taken by C to empty the full tank
Approach:
Let's assume that the capacity of the tank is 300 liters (LCM of 60 and 75).
The amount of water filled by pipe A in 1 minute = 300/60 = 5 liters/min
The amount of water filled by pipe B in 1 minute = 300/75 = 4 liters/min
Let's assume that the amount of water emptied by pipe C in 1 minute = x liters/min
As per the question, when A, B, and C are opened together, the tank is full in 50 minutes.
So, the total amount of water filled in 1 minute by A, B, and C together = 300/50 = 6 liters/min
Now, let's apply the law of conservation of mass, which states that the mass (or volume) of water entering the tank must be equal to the mass (or volume) of water leaving the tank.
The amount of water entering the tank in 1 minute = the amount of water leaving the tank in 1 minute
=> (5 + 4 - x) liters/min = 6 liters/min
=> x = 3 liters/min
Therefore, the amount of water emptied by pipe C in 1 minute = 3 liters/min
The capacity of the tank is 300 liters.
So, the time taken by pipe C to empty the full tank = 300/3 = 100 minutes.
Hence, the correct answer is option B (100 minutes).
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Two pipes A and B can fill a tank in 60 minutes and 75 minutes, respectively. There is also an outlet C. If A, B, and C are opened together, the tank is full in 50 minutes. How much time will be taken by C to empty the full tank?a)90 minutesb)100 minutesc)120 minutesd)110 minutesCorrect answer is option 'B'. Can you explain this answer?
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Two pipes A and B can fill a tank in 60 minutes and 75 minutes, respectively. There is also an outlet C. If A, B, and C are opened together, the tank is full in 50 minutes. How much time will be taken by C to empty the full tank?a)90 minutesb)100 minutesc)120 minutesd)110 minutesCorrect answer is option 'B'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about Two pipes A and B can fill a tank in 60 minutes and 75 minutes, respectively. There is also an outlet C. If A, B, and C are opened together, the tank is full in 50 minutes. How much time will be taken by C to empty the full tank?a)90 minutesb)100 minutesc)120 minutesd)110 minutesCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two pipes A and B can fill a tank in 60 minutes and 75 minutes, respectively. There is also an outlet C. If A, B, and C are opened together, the tank is full in 50 minutes. How much time will be taken by C to empty the full tank?a)90 minutesb)100 minutesc)120 minutesd)110 minutesCorrect answer is option 'B'. Can you explain this answer?.
Two pipes A and B can fill a tank in 60 minutes and 75 minutes, respectively. There is also an outlet C. If A, B, and C are opened together, the tank is full in 50 minutes. How much time will be taken by C to empty the full tank?a)90 minutesb)100 minutesc)120 minutesd)110 minutesCorrect answer is option 'B'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about Two pipes A and B can fill a tank in 60 minutes and 75 minutes, respectively. There is also an outlet C. If A, B, and C are opened together, the tank is full in 50 minutes. How much time will be taken by C to empty the full tank?a)90 minutesb)100 minutesc)120 minutesd)110 minutesCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two pipes A and B can fill a tank in 60 minutes and 75 minutes, respectively. There is also an outlet C. If A, B, and C are opened together, the tank is full in 50 minutes. How much time will be taken by C to empty the full tank?a)90 minutesb)100 minutesc)120 minutesd)110 minutesCorrect answer is option 'B'. Can you explain this answer?.
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Two pipes A and B can fill a tank in 60 minutes and 75 minutes, respectively. There is also an outlet C. If A, B, and C are opened together, the tank is full in 50 minutes. How much time will be taken by C to empty the full tank?a)90 minutesb)100 minutesc)120 minutesd)110 minutesCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for Two pipes A and B can fill a tank in 60 minutes and 75 minutes, respectively. There is also an outlet C. If A, B, and C are opened together, the tank is full in 50 minutes. How much time will be taken by C to empty the full tank?a)90 minutesb)100 minutesc)120 minutesd)110 minutesCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of Two pipes A and B can fill a tank in 60 minutes and 75 minutes, respectively. There is also an outlet C. If A, B, and C are opened together, the tank is full in 50 minutes. How much time will be taken by C to empty the full tank?a)90 minutesb)100 minutesc)120 minutesd)110 minutesCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
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