UGC NET Exam > UGC NET Questions > Pipe A and pipe B can fill the tank completel...
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Pipe A and pipe B can fill the tank completely in 20 hours and 30 hours respectively. Pipe C can empty the completely filled tank in 24 hours. If pipe A and pipe B are opened together and after 10 hours pipe B is closed and pipe C is opened. Find the total time required to fill the tank completely. (in hours)
- a)20 hours
- b)24 hours
- c)30 hours
- d)100 hours
Correct answer is option 'C'. Can you explain this answer?
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Pipe A and pipe B can fill the tank completely in 20 hours and 30 hour...
Given:
Pipe A and pipe B can fill the tank completely in 20 hours and 30 hours respectively.
Pipe C can empty the completely filled tank in 24 hours.
Pipe A and pipe B can fill the tank completely in 20 hours and 30 hours respectively.
Pipe C can empty the completely filled tank in 24 hours.
Concept used:
The time is taken by pipe A to fill the tank = a hours
The time is taken by pipe B to fill the tank = b hours
The time is taken by pipe C to empty the completely filled tank = c hours
The capacity of the tank = L.C.M of (a, b and c) L
The time is taken by pipe A to fill the tank = a hours
The time is taken by pipe B to fill the tank = b hours
The time is taken by pipe C to empty the completely filled tank = c hours
The capacity of the tank = L.C.M of (a, b and c) L
Calculation:
According to the question,
The time is taken by pipe A to fill the tank = 20 hours
The time is taken by pipe B to fill the tank = 30 hours
The time is taken by pipe C to empty the completely filled tank = 24 hours
The capacity of the tank = L.C.M of (20, 30 and 24) = 120 L
Now,
Efficiency of pipe A = 120/20 = 6 L per hour
Efficiency of pipe B = 120/30 = 4 L per hour
Efficiency of pipe C = 120/24 = -5 L per hour
Again according to the question,
The combined efficiency of pipe A and pipe B = 6 + 4 = 10 L per hour
The amount of tank filled by pipe A and pipe B in 10 hours = 10 × 10 = 100 L
The remaining quantity of tank to be filled = 120 - 100 = 20 L
Now,
The combined efficiency of pipe A and pipe C = 6 + (-5) = 1 L per hour
The time is taken by pipe A and pipe C to fill 20 L of water = 20/1 = 20 hours
The total time required = 10 + 20 = 30 hours
Therefore, '30 hours' is the required answer.
According to the question,
The time is taken by pipe A to fill the tank = 20 hours
The time is taken by pipe B to fill the tank = 30 hours
The time is taken by pipe C to empty the completely filled tank = 24 hours
The capacity of the tank = L.C.M of (20, 30 and 24) = 120 L
Now,
Efficiency of pipe A = 120/20 = 6 L per hour
Efficiency of pipe B = 120/30 = 4 L per hour
Efficiency of pipe C = 120/24 = -5 L per hour
Again according to the question,
The combined efficiency of pipe A and pipe B = 6 + 4 = 10 L per hour
The amount of tank filled by pipe A and pipe B in 10 hours = 10 × 10 = 100 L
The remaining quantity of tank to be filled = 120 - 100 = 20 L
Now,
The combined efficiency of pipe A and pipe C = 6 + (-5) = 1 L per hour
The time is taken by pipe A and pipe C to fill 20 L of water = 20/1 = 20 hours
The total time required = 10 + 20 = 30 hours
Therefore, '30 hours' is the required answer.
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Pipe A and pipe B can fill the tank completely in 20 hours and 30 hours respectively. Pipe C can empty the completely filled tank in 24 hours. If pipe A and pipe B are opened together and after 10 hours pipe B is closed and pipe C is opened. Find the total time required to fill the tank completely. (in hours)a)20 hoursb)24 hoursc)30 hoursd)100 hoursCorrect answer is option 'C'. Can you explain this answer?
Question Description
Pipe A and pipe B can fill the tank completely in 20 hours and 30 hours respectively. Pipe C can empty the completely filled tank in 24 hours. If pipe A and pipe B are opened together and after 10 hours pipe B is closed and pipe C is opened. Find the total time required to fill the tank completely. (in hours)a)20 hoursb)24 hoursc)30 hoursd)100 hoursCorrect answer is option 'C'. Can you explain this answer? for UGC NET 2024 is part of UGC NET preparation. The Question and answers have been prepared according to the UGC NET exam syllabus. Information about Pipe A and pipe B can fill the tank completely in 20 hours and 30 hours respectively. Pipe C can empty the completely filled tank in 24 hours. If pipe A and pipe B are opened together and after 10 hours pipe B is closed and pipe C is opened. Find the total time required to fill the tank completely. (in hours)a)20 hoursb)24 hoursc)30 hoursd)100 hoursCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for UGC NET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Pipe A and pipe B can fill the tank completely in 20 hours and 30 hours respectively. Pipe C can empty the completely filled tank in 24 hours. If pipe A and pipe B are opened together and after 10 hours pipe B is closed and pipe C is opened. Find the total time required to fill the tank completely. (in hours)a)20 hoursb)24 hoursc)30 hoursd)100 hoursCorrect answer is option 'C'. Can you explain this answer?.
Pipe A and pipe B can fill the tank completely in 20 hours and 30 hours respectively. Pipe C can empty the completely filled tank in 24 hours. If pipe A and pipe B are opened together and after 10 hours pipe B is closed and pipe C is opened. Find the total time required to fill the tank completely. (in hours)a)20 hoursb)24 hoursc)30 hoursd)100 hoursCorrect answer is option 'C'. Can you explain this answer? for UGC NET 2024 is part of UGC NET preparation. The Question and answers have been prepared according to the UGC NET exam syllabus. Information about Pipe A and pipe B can fill the tank completely in 20 hours and 30 hours respectively. Pipe C can empty the completely filled tank in 24 hours. If pipe A and pipe B are opened together and after 10 hours pipe B is closed and pipe C is opened. Find the total time required to fill the tank completely. (in hours)a)20 hoursb)24 hoursc)30 hoursd)100 hoursCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for UGC NET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Pipe A and pipe B can fill the tank completely in 20 hours and 30 hours respectively. Pipe C can empty the completely filled tank in 24 hours. If pipe A and pipe B are opened together and after 10 hours pipe B is closed and pipe C is opened. Find the total time required to fill the tank completely. (in hours)a)20 hoursb)24 hoursc)30 hoursd)100 hoursCorrect answer is option 'C'. Can you explain this answer?.
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Pipe A and pipe B can fill the tank completely in 20 hours and 30 hours respectively. Pipe C can empty the completely filled tank in 24 hours. If pipe A and pipe B are opened together and after 10 hours pipe B is closed and pipe C is opened. Find the total time required to fill the tank completely. (in hours)a)20 hoursb)24 hoursc)30 hoursd)100 hoursCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for Pipe A and pipe B can fill the tank completely in 20 hours and 30 hours respectively. Pipe C can empty the completely filled tank in 24 hours. If pipe A and pipe B are opened together and after 10 hours pipe B is closed and pipe C is opened. Find the total time required to fill the tank completely. (in hours)a)20 hoursb)24 hoursc)30 hoursd)100 hoursCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of Pipe A and pipe B can fill the tank completely in 20 hours and 30 hours respectively. Pipe C can empty the completely filled tank in 24 hours. If pipe A and pipe B are opened together and after 10 hours pipe B is closed and pipe C is opened. Find the total time required to fill the tank completely. (in hours)a)20 hoursb)24 hoursc)30 hoursd)100 hoursCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Pipe A and pipe B can fill the tank completely in 20 hours and 30 hours respectively. Pipe C can empty the completely filled tank in 24 hours. If pipe A and pipe B are opened together and after 10 hours pipe B is closed and pipe C is opened. Find the total time required to fill the tank completely. (in hours)a)20 hoursb)24 hoursc)30 hoursd)100 hoursCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice UGC NET tests.
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