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There are two pipes in a tank. Pipe A is for filling the tank and Pipe B is for emptying the tank. If A can fill the tank in 10 hours and B can empty the tank in 15 hours then find how many hours will it take to completely fill a half empty tank?
- a)30 hours
- b)15 hours
- c)20 hours
- d)33.33 hours
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
There are two pipes in a tank. Pipe A is for filling the tank and Pipe...
A’s work = 10%
B’s negative work = 6.66%
(A + B)’s work = 3.33%
To fill a half empty tank, they would take 50/3.33 = 15 hours.
B’s negative work = 6.66%
(A + B)’s work = 3.33%
To fill a half empty tank, they would take 50/3.33 = 15 hours.
Most Upvoted Answer
There are two pipes in a tank. Pipe A is for filling the tank and Pipe...
Let's assume the capacity of the tank is 'x'.
So, initially, the tank is half-filled. Therefore, the quantity of water in the tank is x/2.
Let's consider the time taken by both pipes to fill or empty the tank as 't' hours.
Amount of water filled by Pipe A in 1 hour = x/10
Amount of water emptied by Pipe B in 1 hour = x/15
Now, let's calculate the net amount of water filled in the tank in 1 hour.
Net amount of water filled in the tank in 1 hour = (x/10) - (x/15)
= (3x - 2x)/30
= x/30
Therefore, Pipe A can fill x/30 amount of water in the tank in 1 hour.
Now, let's calculate the time taken to completely fill the half-empty tank.
Amount of water to be filled in the tank = x - x/2
= x/2
Time taken to fill the half-empty tank = (x/2) / (x/30)
= 15 hours
Therefore, it will take 15 hours to completely fill the half-empty tank. Hence, option (b) is the correct answer.
So, initially, the tank is half-filled. Therefore, the quantity of water in the tank is x/2.
Let's consider the time taken by both pipes to fill or empty the tank as 't' hours.
Amount of water filled by Pipe A in 1 hour = x/10
Amount of water emptied by Pipe B in 1 hour = x/15
Now, let's calculate the net amount of water filled in the tank in 1 hour.
Net amount of water filled in the tank in 1 hour = (x/10) - (x/15)
= (3x - 2x)/30
= x/30
Therefore, Pipe A can fill x/30 amount of water in the tank in 1 hour.
Now, let's calculate the time taken to completely fill the half-empty tank.
Amount of water to be filled in the tank = x - x/2
= x/2
Time taken to fill the half-empty tank = (x/2) / (x/30)
= 15 hours
Therefore, it will take 15 hours to completely fill the half-empty tank. Hence, option (b) is the correct answer.
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There are two pipes in a tank. Pipe A is for filling the tank and Pipe...
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There are two pipes in a tank. Pipe A is for filling the tank and Pipe B is for emptying the tank. If A can fill the tank in 10 hours and B can empty the tank in 15 hours then find how many hours will it take to completely fill a half empty tank?a)30 hoursb)15 hoursc)20 hoursd)33.33 hoursCorrect answer is option 'B'. Can you explain this answer?
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There are two pipes in a tank. Pipe A is for filling the tank and Pipe B is for emptying the tank. If A can fill the tank in 10 hours and B can empty the tank in 15 hours then find how many hours will it take to completely fill a half empty tank?a)30 hoursb)15 hoursc)20 hoursd)33.33 hoursCorrect answer is option 'B'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about There are two pipes in a tank. Pipe A is for filling the tank and Pipe B is for emptying the tank. If A can fill the tank in 10 hours and B can empty the tank in 15 hours then find how many hours will it take to completely fill a half empty tank?a)30 hoursb)15 hoursc)20 hoursd)33.33 hoursCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for There are two pipes in a tank. Pipe A is for filling the tank and Pipe B is for emptying the tank. If A can fill the tank in 10 hours and B can empty the tank in 15 hours then find how many hours will it take to completely fill a half empty tank?a)30 hoursb)15 hoursc)20 hoursd)33.33 hoursCorrect answer is option 'B'. Can you explain this answer?.
There are two pipes in a tank. Pipe A is for filling the tank and Pipe B is for emptying the tank. If A can fill the tank in 10 hours and B can empty the tank in 15 hours then find how many hours will it take to completely fill a half empty tank?a)30 hoursb)15 hoursc)20 hoursd)33.33 hoursCorrect answer is option 'B'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about There are two pipes in a tank. Pipe A is for filling the tank and Pipe B is for emptying the tank. If A can fill the tank in 10 hours and B can empty the tank in 15 hours then find how many hours will it take to completely fill a half empty tank?a)30 hoursb)15 hoursc)20 hoursd)33.33 hoursCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for There are two pipes in a tank. Pipe A is for filling the tank and Pipe B is for emptying the tank. If A can fill the tank in 10 hours and B can empty the tank in 15 hours then find how many hours will it take to completely fill a half empty tank?a)30 hoursb)15 hoursc)20 hoursd)33.33 hoursCorrect answer is option 'B'. Can you explain this answer?.
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