Pipes and Cistern

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.

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

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

Taps A and C can fill a tank in $5$ and $20$ hrs respectively. Taps B and D can drain a full tank in $10$and $40$hrs. respectively. If A, B, C and D are opened in a gap of $2$ hrs. in that order the tank gets full in______.

Two pipes fill a tank in $20 minutes$ and $60 minutes$. In how much time will the tank be filled if both pipes are opened together

Two pipes $A$ and $B$ can fill a tank separately in $12$ and $16$ $\mathrm{hours}$ respectively. Efficiency of pipe $A$ is 

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

The tank is filled by an inlet pipe in $10 min$ and emptied by an outlet pipe in $15 min$.The time to fill the tank,when both the pipes are opened

Pipe $A$ can fill an empty tank in $6 \mathrm{h}$ and pipe $B$ in $8 \mathrm{h}.$ If both the pipes are opened and after $2 \mathrm{h}$ pipe $A$ is closed, then how much time pipe $B$ will take to fill the remaining tank?

Two pipes $A$ and $B$ can fill a tank from empty to full in $30 min$, $20 min$ respectively,the part of tank filled in $1 min$,when two pipes opened simultaneously,

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?

Tap P can fill a cistern in $6 \mathrm{hours}$ and Tab Q can empty the full cistern in $10 \mathrm{hours}$. If both pipes P and Q are kept open simultaneously, then in how many hours will the empty cistern be completely full?

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?

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?