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Twelve pipes are connected to a Cistern. Some of them are inlet pipes and the others are outlet pipes. Each of the inlet pipes can fill the tank in 8 hours and each of the outlet pipes can empty the cistern completely in 6 hours. If all the pipes are kept open, the empty tank gets filled in 24 hours. How many inlet pipes are there?
- a)6
- b)8
- c)7
- d)4
- e)None of the Above
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
Twelve pipes are connected to a Cistern. Some of them are inlet pipes ...
(x/8)-[(12-x)/6] = 1/24
x = 7
x = 7
Most Upvoted Answer
Twelve pipes are connected to a Cistern. Some of them are inlet pipes ...
(x/8)-[(12-x)/6] = 1/24
x = 7
x = 7
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Twelve pipes are connected to a Cistern. Some of them are inlet pipes ...
To solve this problem, let's assume the number of inlet pipes as 'x'.
Inlet pipes:
Each inlet pipe can fill the tank in 8 hours. So, in 1 hour, each inlet pipe can fill 1/8th of the tank.
Therefore, the total amount of water filled by all the inlet pipes in 1 hour is x/8th of the tank.
Outlet pipes:
Each outlet pipe can empty the tank completely in 6 hours. So, in 1 hour, each outlet pipe can empty 1/6th of the tank.
Therefore, the total amount of water emptied by all the outlet pipes in 1 hour is 12/6th of the tank.
Combined effect:
If all the pipes are kept open, the empty tank gets filled in 24 hours. So, in 1 hour, the net amount of water filled in the tank is 1/24th of the tank.
Since the inlet pipes add water and the outlet pipes remove water, the net amount of water filled in the tank in 1 hour can be calculated as follows:
(x/8) - (12/6) = 1/24
Simplifying the equation,
(x/8) - 2 = 1/24
Multiplying both sides by 24, we get
3x - 48 = 1
3x = 49
x = 49/3
Therefore, the number of inlet pipes, x, is approximately 16.33. Since the number of pipes must be a whole number, we round down to the nearest whole number.
Hence, there are 16 inlet pipes.
Since none of the answer options match the correct answer, the answer is None of the Above (e).
Inlet pipes:
Each inlet pipe can fill the tank in 8 hours. So, in 1 hour, each inlet pipe can fill 1/8th of the tank.
Therefore, the total amount of water filled by all the inlet pipes in 1 hour is x/8th of the tank.
Outlet pipes:
Each outlet pipe can empty the tank completely in 6 hours. So, in 1 hour, each outlet pipe can empty 1/6th of the tank.
Therefore, the total amount of water emptied by all the outlet pipes in 1 hour is 12/6th of the tank.
Combined effect:
If all the pipes are kept open, the empty tank gets filled in 24 hours. So, in 1 hour, the net amount of water filled in the tank is 1/24th of the tank.
Since the inlet pipes add water and the outlet pipes remove water, the net amount of water filled in the tank in 1 hour can be calculated as follows:
(x/8) - (12/6) = 1/24
Simplifying the equation,
(x/8) - 2 = 1/24
Multiplying both sides by 24, we get
3x - 48 = 1
3x = 49
x = 49/3
Therefore, the number of inlet pipes, x, is approximately 16.33. Since the number of pipes must be a whole number, we round down to the nearest whole number.
Hence, there are 16 inlet pipes.
Since none of the answer options match the correct answer, the answer is None of the Above (e).
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Twelve pipes are connected to a Cistern. Some of them are inlet pipes and the others are outlet pipes. Each of the inlet pipes can fill the tank in 8 hours and each of the outlet pipes can empty the cistern completely in 6 hours. If all the pipes are kept open, the empty tank gets filled in 24 hours. How many inlet pipes are there?a)6b)8c)7d)4e)None of the AboveCorrect answer is option 'C'. Can you explain this answer?
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Twelve pipes are connected to a Cistern. Some of them are inlet pipes and the others are outlet pipes. Each of the inlet pipes can fill the tank in 8 hours and each of the outlet pipes can empty the cistern completely in 6 hours. If all the pipes are kept open, the empty tank gets filled in 24 hours. How many inlet pipes are there?a)6b)8c)7d)4e)None of the AboveCorrect answer is option 'C'. 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 Twelve pipes are connected to a Cistern. Some of them are inlet pipes and the others are outlet pipes. Each of the inlet pipes can fill the tank in 8 hours and each of the outlet pipes can empty the cistern completely in 6 hours. If all the pipes are kept open, the empty tank gets filled in 24 hours. How many inlet pipes are there?a)6b)8c)7d)4e)None of the AboveCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Twelve pipes are connected to a Cistern. Some of them are inlet pipes and the others are outlet pipes. Each of the inlet pipes can fill the tank in 8 hours and each of the outlet pipes can empty the cistern completely in 6 hours. If all the pipes are kept open, the empty tank gets filled in 24 hours. How many inlet pipes are there?a)6b)8c)7d)4e)None of the AboveCorrect answer is option 'C'. Can you explain this answer?.
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