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Six pipes are fitted to a water tank. Some of these are inlet pipes and the others outlet pipes. Each inlet pipe can fill the tank in 9 hrs and each outlet pipe can empty the tank in 6 hrs.On opening all the pipes, an empty tank is filled in 9 hrs. How many inlet pipes are there?
- a)2
- b)4
- c)3
- d)5
- e)None of these
Correct answer is option 'B'. Can you explain this answer?
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Given information:
- Six pipes are fitted to a water tank.
- Some of these are inlet pipes and the others outlet pipes.
- Each inlet pipe can fill the tank in 9 hrs and each outlet pipe can empty the tank in 6 hrs.
- On opening all the pipes, an empty tank is filled in 9 hrs.
To find:
- How many inlet pipes are there?
Approach:
- Let the number of inlet pipes be x.
- Total pipes are 6, so the number of outlet pipes will be 6-x.
- Inlet pipe fills the tank in 9 hrs, so in 1 hour, it fills 1/9th part of the tank.
- Outlet pipe empties the tank in 6 hrs, so in 1 hour, it empties 1/6th part of the tank.
- On opening all the pipes, an empty tank is filled in 9 hrs, so the net filling rate is 1/9 - 1/6 = 1/18.
Calculation:
- Considering x inlet pipes, the net filling rate will be x/9 - (6-x)/6 = (2x-27)/18.
- As per the given condition, the net filling rate is 1/18, i.e., (2x-27)/18 = 1/18.
- Solving this equation, we get 2x - 27 = 1, i.e., x = 14/2 = 7.
Conclusion:
- The number of inlet pipes is 7-x = 7-7 = 0.
- So, there are no inlet pipes.
- The correct option is (B) 4 inlet pipes, which is not possible as per the given conditions.
- Hence, there is no correct option among the given choices.
- Six pipes are fitted to a water tank.
- Some of these are inlet pipes and the others outlet pipes.
- Each inlet pipe can fill the tank in 9 hrs and each outlet pipe can empty the tank in 6 hrs.
- On opening all the pipes, an empty tank is filled in 9 hrs.
To find:
- How many inlet pipes are there?
Approach:
- Let the number of inlet pipes be x.
- Total pipes are 6, so the number of outlet pipes will be 6-x.
- Inlet pipe fills the tank in 9 hrs, so in 1 hour, it fills 1/9th part of the tank.
- Outlet pipe empties the tank in 6 hrs, so in 1 hour, it empties 1/6th part of the tank.
- On opening all the pipes, an empty tank is filled in 9 hrs, so the net filling rate is 1/9 - 1/6 = 1/18.
Calculation:
- Considering x inlet pipes, the net filling rate will be x/9 - (6-x)/6 = (2x-27)/18.
- As per the given condition, the net filling rate is 1/18, i.e., (2x-27)/18 = 1/18.
- Solving this equation, we get 2x - 27 = 1, i.e., x = 14/2 = 7.
Conclusion:
- The number of inlet pipes is 7-x = 7-7 = 0.
- So, there are no inlet pipes.
- The correct option is (B) 4 inlet pipes, which is not possible as per the given conditions.
- Hence, there is no correct option among the given choices.
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Six pipes are fitted to a water tank. Some of these are inlet pipes and the others outletpipes. Each inlet pipe can fill the tank in 9 hrs and each outlet pipe can empty the tank in 6 hrs.On opening all the pipes, an empty tank is filled in 9 hrs. How many inlet pipes are there?a)2b)4c)3d)5e)None of theseCorrect answer is option 'B'. Can you explain this answer?
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Six pipes are fitted to a water tank. Some of these are inlet pipes and the others outletpipes. Each inlet pipe can fill the tank in 9 hrs and each outlet pipe can empty the tank in 6 hrs.On opening all the pipes, an empty tank is filled in 9 hrs. How many inlet pipes are there?a)2b)4c)3d)5e)None of theseCorrect 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 Six pipes are fitted to a water tank. Some of these are inlet pipes and the others outletpipes. Each inlet pipe can fill the tank in 9 hrs and each outlet pipe can empty the tank in 6 hrs.On opening all the pipes, an empty tank is filled in 9 hrs. How many inlet pipes are there?a)2b)4c)3d)5e)None of theseCorrect 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 Six pipes are fitted to a water tank. Some of these are inlet pipes and the others outletpipes. Each inlet pipe can fill the tank in 9 hrs and each outlet pipe can empty the tank in 6 hrs.On opening all the pipes, an empty tank is filled in 9 hrs. How many inlet pipes are there?a)2b)4c)3d)5e)None of theseCorrect answer is option 'B'. Can you explain this answer?.
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Solutions for Six pipes are fitted to a water tank. Some of these are inlet pipes and the others outletpipes. Each inlet pipe can fill the tank in 9 hrs and each outlet pipe can empty the tank in 6 hrs.On opening all the pipes, an empty tank is filled in 9 hrs. How many inlet pipes are there?a)2b)4c)3d)5e)None of theseCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Quant.
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