Pipes and Cisterns

Ten pipes of the same type can fill up a tank in $16$ minutes. If two pipes go out of order, how long will the remaining pipes take to fill the tank ?

A leak in the bottom of a tank can empty the full tank in $8$ hour. An inlet pipe fills water at the rate of $6$ liters a minutes. When the tank is full the inlet is opened and due to leak the tank is empty in $12$ hours. How many liters does the cistern hold ?

One pipe can fill a cistern in $3\ hours$ less than the other. The two pipes together can fill the cistern in $6\ hours$ $40\ minutes$. Find the time that each pipe will take to fill the cistern.

Six taps can fill an empty cistern in $8$ hours. How much more time will be taken, if two taps go out of order? Assume all the taps supply water at the same rate.

Water flows in a tank $150$ m $\times 100$ m at the base, through a pipe whose cross-section is $2$ dm by $1.5$ dm at a speed of $15$km per hour. In what time, will the water be $3$ metres deep?

Two pipes $P$ and $Q$ fill a cistern in 24 and 32 minutes respectively. Both pipes are kept open. When should the first pipe be turned off so that the cistern may be just filled in 16 minutes?

The water in a rectangular reservoir having a base $80 m$ by $60m$ is $6.5 m$ deep. In what time can the water be emptied by a pipe of a square cross-section is of side $20 cm$, if the water runs through the pipe at the rate of $15 km$ per hours?

Water flows at the rate of $10$ meters per minute through a cylinder cylindrical pipe $5$ mm in diameter.How long would it take to fill a conical vessel whose diameter at the surface $40$$\mathrm { cm }$ and depth $24$ cm is

Pipe $A$ can fill a tank in $4$ hrs. If pipe $B$ works alone, it takes $3$ hrs longer to fill the tank than if both pipes work together. How long will it take for pipe $B$ to fill the tank if it works alone?

Pipe $A$ alone can fill one tank in $6$ hours more than it takes pipe $B$ alone to fill one tank. Together, both pipes can fill one tank in $4$ hrs. How long will it take pipe $A$ alone to fill one tank?

Water is flowing at the rate of $25$ kilometer per hour through a cylindrical pipe radius $7$ m into a rectangular tank which is $30$ m long and $12$ m wide. In how many hours will the water level in the tank raise by $10$ m?

Choose the correct answer from the alternatives given. Two pipes A and B can fill a cistern in 20 minutes and 25 minutes respectively. Both the pipes are opened together, but at the end of 5 minutes the first is turned off. How long does it take to fill the cistern?

Two pipes can fill a cistern in $14$ hours and $16$ hours respectively, The pipes are opened simultaneously and it is found that due to leakage in the bottom, $32$ minutes extra are taken for the cistern to be filled up. If the cistern is full, in what time would the leak empty it ?

A pipe can empty a tank in $40$ minutes. A second pipe with diameter twice as much as that of the first is also attached with the tank to empty it. The two pipes together can empty the tank in

A cistern has three pipes A, B, C. A and B can fill it in $3$ hours and $4 $ hours respectively. A and C can empty it in $1 $ hours. If the pipe are opened at $3$ pm, $4$ pm , $5$ pm respectively on the same day. The cistern will empty at ?