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Pipe A and B can fill a tank in 5 and 6 hours respectively. Pipe C can empty it in 12hours. If all the three pipes are opened together, then the tank will be filled in?
Verified Answer
Pipe A and B can fill a tank in 5 and 6 hours respectively. Pipe C can...
LCM
Suppose capacity of the tank is
l. Then, quantity filled by pipe A in
hr
l
Quantity filled by pipe B in
hr
l
Quantity filled by pipe C in
hr
l
Quantity filled in
hr if all the three pipes are opened together
l
Required time
hrs.
This question is part of UPSC exam. View all Class 5 courses
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Pipe A and B can fill a tank in 5 and 6 hours respectively. Pipe C can...
Calculation:
To find the time taken to fill the tank when all three pipes are opened together, we need to calculate the combined rate at which they fill or empty the tank.
Rate of filling for Pipe A: 1/5 tank/hour
Rate of filling for Pipe B: 1/6 tank/hour
Rate of emptying for Pipe C: -1/12 tank/hour (negative because it empties the tank)
Combined rate: (1/5 + 1/6 - 1/12) tank/hour = 12/60 + 10/60 - 5/60 = 17/60 tank/hour
Time taken to fill the tank:
Time = 1 / Combined rate
Time = 60 / 17
Time ≈ 3.53 hours
Therefore, the tank will be filled in approximately 3.53 hours when all three pipes A, B, and C are opened together.
To find the time taken to fill the tank when all three pipes are opened together, we need to calculate the combined rate at which they fill or empty the tank.
Rate of filling for Pipe A: 1/5 tank/hour
Rate of filling for Pipe B: 1/6 tank/hour
Rate of emptying for Pipe C: -1/12 tank/hour (negative because it empties the tank)
Combined rate: (1/5 + 1/6 - 1/12) tank/hour = 12/60 + 10/60 - 5/60 = 17/60 tank/hour
Time taken to fill the tank:
Time = 1 / Combined rate
Time = 60 / 17
Time ≈ 3.53 hours
Therefore, the tank will be filled in approximately 3.53 hours when all three pipes A, B, and C are opened together.
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Pipe A and B can fill a tank in 5 and 6 hours respectively. Pipe C can empty it in 12hours. If all the three pipes are opened together, then the tank will be filled in?
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Pipe A and B can fill a tank in 5 and 6 hours respectively. Pipe C can empty it in 12hours. If all the three pipes are opened together, then the tank will be filled in? for Class 5 2024 is part of Class 5 preparation. The Question and answers have been prepared according to the Class 5 exam syllabus. Information about Pipe A and B can fill a tank in 5 and 6 hours respectively. Pipe C can empty it in 12hours. If all the three pipes are opened together, then the tank will be filled in? covers all topics & solutions for Class 5 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Pipe A and B can fill a tank in 5 and 6 hours respectively. Pipe C can empty it in 12hours. If all the three pipes are opened together, then the tank will be filled in?.
Pipe A and B can fill a tank in 5 and 6 hours respectively. Pipe C can empty it in 12hours. If all the three pipes are opened together, then the tank will be filled in? for Class 5 2024 is part of Class 5 preparation. The Question and answers have been prepared according to the Class 5 exam syllabus. Information about Pipe A and B can fill a tank in 5 and 6 hours respectively. Pipe C can empty it in 12hours. If all the three pipes are opened together, then the tank will be filled in? covers all topics & solutions for Class 5 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Pipe A and B can fill a tank in 5 and 6 hours respectively. Pipe C can empty it in 12hours. If all the three pipes are opened together, then the tank will be filled in?.
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