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Two pipes can fill a tank in 20 and 24 minutes respectively and a waste pipe can empty 3 gallons per minute. All the three pipes working together can fill the tank in 15 minutes. The capacity of the tank is:

60 gallons
100 gallons
120 gallons
180 gallons
Explanation:

Work done by the waste pipe in 1 minute =$ \dfrac{1}{15} $-$ \left(\dfrac{1}{20} +\dfrac{1}{24} \right) $

    =$ \left(\dfrac{1}{15} -\dfrac{11}{120} \right) $

    = - $ \dfrac{1}{40} $.    [-ve sign means emptying]

$\therefore$ Volume of$ \dfrac{1}{40} $part = 3 gallons.

Volume of whole = $\left(3 \times 40\right)$ gallons = 120 gallons.

Additional Questions

A pump can fill a tank with water in 2 hours. Because of a leak, it took 2$ \dfrac{1}{3} $ hours to fill the tank. The leak can drain all the water of the tank in:

Answer

Pipe A can fill a tank in 8 hours, pipe B in 4 hours and pipe C in 24 hours. If all the pipes are open, in how many hours will the tank be filled?

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Pipes A and B can fill a tank in 8 and 24 hours respectively. Pipe C can empty it in 12 hours. If all the three pipes are opened together, then the tank will be filled in:

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Two pipes A and B can fill a tank in 2 and 6 minutes respectively. If both the pipes are used together, then how long will it take to fill the tank?

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A large tanker can be filled by two pipes A and B in 60 minutes and 40 minutes respectively. How many minutes will it take to fill the tanker from empty state if B is used for half the time and A and B fill it together for the other half?

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13 buckets of water fill a tank when the capacity of each bucket is 51 litres. How many buckets will be needed to fill the same tank, if the capacity of each bucket is 17 litres?

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One pipe can fill a tank 6 times as fast as another pipe. If together the two pipes can fill the tank in 22 minutes, then the slower pipe alone will be able to fill the tank in:

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A tank is filled in 5 hours by three pipes A, B and C. The pipe C is twice as fast as B and B is twice as fast as A. How much time will pipe A alone take to fill the tank?

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Two pipes can fill a tank in 12 minutes and 20 minutes respectively. Both pipes are opened together and after some time the first pipe is closed and the tank is full in totally 10 minutes. For how many minutes was first pipe open?

Answer

Two pipes can fill a tank in 15 minutes and 12 minutes. The outlet pipe can empty the tank in 20 minutes. If all the pipes are opened when, the tank is empty, then in how many minutes will it take to fill the tank?

Answer
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