Pipes and Cistern

Two pipes can fill a tank in $8 \mathrm{h}$ and $12 \mathrm{h}$ respectively whereas an escape pipe can empty it in $6 \mathrm{h}$. If the three pipes are opened at $1$ PM, $2$ PM and $3$ PM respectively, at what time will the tank be filled?

Three taps are fitted in a cistern. The empty cistern is filled by the first and the second taps in $3$ h and $4$ h respectively. The full cistern is emptied by the third tap in $5$ h. If all three taps are opened simultaneously, then the empty cistern will be filled up in.

Which of the following statements are necessary to answer the question:

A tank is fitted with two taps A and B. In how much time will the tank be full if both the taps are opened together ?
(i) A is $50$% more efficient than B
(ii) A alone takes $16$ hours to fill the tank
(iii) B alone takes $24$ hours to fill the tank.

A water filling Pipe $P$ is $5 \mathrm{times}$ faster than second Pipe $Q$. If $P$ fills a cistern in $30 \mathrm{minutes}$. How long will it take to fill the tank, when both the pipes are kept in operation simultaneous?

A swimming pool has $3$ drain pipes. The first two pipes A and B, operating simultaneously, that of taken by C alone. Pipe A, working alone, takes half the time taken by pipe B. Together they take $6$ hrs $40$ minutes to empty the pool. Time taken by pipe A to empty the pool, in hours, is

Six pipes are fitted to a water tank. Some of these are filling pipes, others are emptying pipes. Each filling pipes can fill the tank in 9 hrs and each waste pipe can empty the tank in$6 \mathrm{hrs}$. On opening all the pipes in the empty tank is filled in $9 \mathrm{hrs}$. Find the number of filling pipes?

A Cistern is filled by pipe A in 8 hrs and the full Cistern can be leaked out by an exhaust pipe B in 12 hrs. If both the pipes are opened in what time the Cistern is full?

If $\frac{3}{16}$ of a tank is filled in $15$ minutes, the rest of the tank will be filled in

There are two water taps in a tank that can fill the empty tank in $12 \mathrm{hours}$ and $18 \mathrm{hours}$ respectively. It is seen that there is a leakage point at the bottom of the tank which can empty the completely filled tank in $36 \mathrm{hours}$. If both the water taps are opened at the same time to fill the empty tank and the leakage point was repaired after $1 \mathrm{hour}$, then in how much time the empty tank will be completely filled?

There are three inlet taps whose diameters are $1 \mathrm{cm}$, $2 \mathrm{cm}$, and $3 \mathrm{cm}$, respectively. Rate of flow of water is directly proportional to the square of the diameter. It takes $9$ min for the smallest pipe to fill an empty tank. Find the time taken to fill an empty tank when all the three taps are opened.

A swimming pool can be filled by pipe $\mathrm{A}$ in $3 \mathrm{h}$ and by pipe $\mathrm{B}$in $6 \mathrm{h}$, each pump working on its own. At $9$am, pump $\mathrm{A}$ is started. At what time will the swimming pool be filled if pump $\mathrm{B}$ is started at $10\mathrm{am}$ ?

It takes $6 \mathrm{h}$ for pump $\mathrm{A}$, used alone, to fill a tank of water. Pump $\mathrm{B}$used alone takes $8$h to fill the same tank.$\mathrm{A}, \mathrm{B},$ and another pump $\mathrm{C}$all together fill the $tank$ in $2 \mathrm{h}$. How long would pump $\mathrm{C}$ take, used alone, to fill the tank?

A container has two holes. The $1^{\mathrm{st} }$ hole alone empties the container in $15$ minutes and $2^{\mathrm{nd} }$ hole alone empties the container in $10$ minutes. If water leaks out at a constant rate, how long (in minutes) does it take if both the holes together empty the container?

A water tank has two holes. The $1^{\mathrm{st} }$ hole alone empties the tank in $9$ minutes and $2^{\mathrm{nd}}$ hole alone empties the tank in $6$ minutes. If water leaks out at a constant rate, how many minutes does it take if both the holes together empty the tank?

Nine red pipes and twelve blue pipes provide water to a swimming pool. A red pipe can fill the pool in $36$hours whereas a blue pipe can fill it in $48$hours. There was some problem with the water supply and some of the pipes did not supply water at all. As a result it took $50\%$ more time to fill the swimming pool. What could be the number of pipes that stopped working?

The discharge of pipe A is $200 \mathrm{liters}$ per hour and that of pipe B is $300 \mathrm{liters}$ per hour while that of pipe C is $250 \mathrm{liters}$ per hour. A and B are used to fill the tank while C is used to empty the tank. If B and C are open alternately with pipe A, then find the time required to fill a tank of capacity $4500 \mathrm{litres}$.

There are two pipes for taking water from the municipality water tank. The tank can be emptied in $8$ hours by the two pipes separately. If both the pipes remain opened, let's calculate when the full tank will be emptied.

If a pipe fills a tank in $A$ minutes and another pipe empties the same tank in $B$ minutes. Then in how much time the tank will be filled completely when both the pipes are opened simultaneously?

If a pipe fills a tank in $A$ minutes and another pipe fills the same tank in $B$ minutes. Then in how much time the tank will be filled completely when both the pipes are opened simultaneously?

A tank is connected to three pipes - Pipe $A$, $B$ and $C$. Pipe $A$ can fill the tank in $6 \mathrm{h}$, $B$ can fill the tank in $8 \mathrm{h}$and Pipe $C$ can empty the full tank in $12 \mathrm{h}$. How much time will it take to fill the tank completely if all three pipes are working together?