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A Cistern has an inlet pipe and outlet pipe. The inlet pipe fills the cistern completely in 1 hour 20 minutes when the outlet pipe is plugged. The outlet pipe empties the tank completely in 6 hours when the inlet pipe is plugged. If there is a leakage also which is capable of draining out the water from the tank at half of the rate of the outlet pipe, then what is the time taken to fill the empty tank when both the pipes are opened?
  • a)
    3 hours
  • b)
    2 hours
  • c)
    5 hours
  • d)
    4 hours
  • e)
    None of the Above
Correct answer is option 'B'. Can you explain this answer?
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A Cistern has an inlet pipe and outlet pipe. The inlet pipe fills the ...
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A Cistern has an inlet pipe and outlet pipe. The inlet pipe fills the ...
Inlet pipe Efficiency = 100/(8/6) = 75%
Outlet pipe Efficiency = 100/(6) = 16.66%
Efficiency of leakage = half of the rate of the outlet pipe = 8.33%
Net Efficiency = 75 – (16.66 + 8.33) = 50%
Required time = 100/50 = 2 hours
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A Cistern has an inlet pipe and outlet pipe. The inlet pipe fills the ...
Given information:
- Inlet pipe can fill the cistern completely in 1 hour 20 minutes, which is equivalent to 4/3 hours.
- Outlet pipe can empty the tank completely in 6 hours.
- Leakage can drain out the water from the tank at half the rate of the outlet pipe.

To find: The time taken to fill the empty tank when both the inlet and outlet pipes are opened.

Let's assume the capacity of the tank is C.

Inlet pipe's rate of filling the tank = C / (4/3) = 3C/4 hours
Outlet pipe's rate of emptying the tank = C / 6 hours
Leakage's rate of draining the tank = C / 12 hours (half the rate of the outlet pipe)

When both the inlet and outlet pipes are opened, the net rate of filling the tank can be calculated as follows:

Net rate = (Rate of filling the tank) - (Rate of emptying the tank) - (Rate of leakage)
Net rate = (3C/4) - (C/6) - (C/12)
Net rate = (9C - 2C - C) / 12
Net rate = 6C / 12
Net rate = C / 2

To find the time taken to fill the empty tank, we can use the formula:
Time = Capacity / Rate

Time taken to fill the empty tank = C / (C/2) = 2 hours

Therefore, the correct answer is option B) 2 hours.
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A Cistern has an inlet pipe and outlet pipe. The inlet pipe fills the cistern completely in 1 hour 20 minutes when the outlet pipe is plugged. The outlet pipe empties the tank completely in 6 hours when the inlet pipe is plugged. If there is a leakage also which is capable of draining out the water from the tank at half of the rate of the outlet pipe, then what is the time taken to fill the empty tank when both the pipes are opened?a)3 hoursb)2 hoursc)5 hoursd)4 hourse)None of the AboveCorrect answer is option 'B'. Can you explain this answer?
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A Cistern has an inlet pipe and outlet pipe. The inlet pipe fills the cistern completely in 1 hour 20 minutes when the outlet pipe is plugged. The outlet pipe empties the tank completely in 6 hours when the inlet pipe is plugged. If there is a leakage also which is capable of draining out the water from the tank at half of the rate of the outlet pipe, then what is the time taken to fill the empty tank when both the pipes are opened?a)3 hoursb)2 hoursc)5 hoursd)4 hourse)None of the AboveCorrect 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 A Cistern has an inlet pipe and outlet pipe. The inlet pipe fills the cistern completely in 1 hour 20 minutes when the outlet pipe is plugged. The outlet pipe empties the tank completely in 6 hours when the inlet pipe is plugged. If there is a leakage also which is capable of draining out the water from the tank at half of the rate of the outlet pipe, then what is the time taken to fill the empty tank when both the pipes are opened?a)3 hoursb)2 hoursc)5 hoursd)4 hourse)None of the AboveCorrect 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 A Cistern has an inlet pipe and outlet pipe. The inlet pipe fills the cistern completely in 1 hour 20 minutes when the outlet pipe is plugged. The outlet pipe empties the tank completely in 6 hours when the inlet pipe is plugged. If there is a leakage also which is capable of draining out the water from the tank at half of the rate of the outlet pipe, then what is the time taken to fill the empty tank when both the pipes are opened?a)3 hoursb)2 hoursc)5 hoursd)4 hourse)None of the AboveCorrect answer is option 'B'. Can you explain this answer?.
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