Pipes and Cistern-Test 2

A pipe can fill a cistern in 8 hours. After half the tank is filled, three more similar taps
are opened. What is the total time taken to fill the cistern completely?

Two pipes P and Q are opened together to fill a tank. Both the pipes fill the tank in time
“x” If Q separately took 16 minutes more time than “x” to fill the tank and Q took 36
minutes more time than “x” to fill the tank, then find out the value of x?

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 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 4 hours when the inlet pipe is plugged. If both pipes are opened
simultaneously at a time when the tank was one-third filled, when will the tank fill
thereafter?

Two pipes P and Q can fill a cistern in 10 hours and 20 hours respectively. If they are
opened simultaneously. Sometimes later, tap Q was closed, then it takes total 8 hours to fill up the whole tank. After how many hours Q was closed?

Three pipes A, B, and C can fill the tank in 10 hours, 20 hours and 40 hours respectively. In the beginning all of them are opened simultaneously. After 2 hours, tap C is closed
and A and B are kept running. After the 4th hour, tap B is also closed. The remaining
work is done by tap A alone. What is the percentage of the work done by tap A alone?

A pipe can fill a tank in 12 minutes and another pipe can fill it in 15 minutes, but a
third pipe can empty it in 6 minutes. The first two pipes are kept open for 5 min in the
beginning and then third pipe is also opened. Time taken to empty the water tank is?

Two pipes A and B can fill a tank in 12 hours and 18 hours respectively. The pipes
are opened simultaneously and it is found that due to leakage in the bottom of the tank
it took 48 minutes excess time to fill the cistern. When the cistern is full, in what time
will the leak empty it?

A tank is normally filled in 6 hours but takes two hours longer to fill because of a
leak in the bottom of the tank. If the tank is full the leak will empty it in how many hours?

Twelve pipes are connected to a Cistern. Some of them are inlet pipes and the others
are outlet pipes. Each of the inlet pipes can fill the tank in 8 hours and each of the outlet
pipes can empty the cistern completely in 6 hours. If all the pipes are kept open, the
empty tank gets filled in 24 hours. How many inlet pipes are there?

A dam has four inlets – A, B, C and D. The dam can be filled in 12 minutes through the
first three inlets and it can be filled in 15 minutes through the second, the third and
fourth inlet also it can be filled through the first and the fourth inlet in 20 minutes. How
much time required to fill up the dam by all the four inlets?

Three pipes P, Q and R connected to a Cistern. The first pipe (i.e) P can fill 1/2 part
of the tank in one hour, second pipe, Q can fill 1/3 part of the cistern in one hour. R is
connected to empty the cistern. After opening all the three pipes 7/12 part of the cistern.
Then how much time required to empty the cistern completely?

A Cistern can be filled by an inlet pipe at the rate of 4 litres per minute. A leak in the
bottom of a cistern can empty the full tank in 8 hours. When the cistern is full, the inlet is
opened and due to the leak, the cistern is empty in 40 hours. How many litres does the
cistern hold?

In a tank there is a pipe which can be used for filling the tank as well as for emptying it.
The capacity of the tank is 1200 m³. The emptying of the tank is 10 m³ per minute higher than its filling capacity and the pump needs 6 minutes lesser to empty the tank than
it needs to fill it. What is the filling capacity of the pipe?

Two pipes P and Q can fill a cistern in 12 hours and 4 hours respectively. If they are opened on alternate hours and if pipe A is opened first, in how many hours will the tank be full?

Two pipes A and B can fill a tank in 10 hours and 15 hours respectively while a third pipe C can empty the full tank in 20 hours. All the pipes are opened for 5 hours and then C is closed. Find the time in which the tank is full?

Three pipe P, Q and R can fill a tank in 12 minutes, 18 minutes and 24 minutes
respectively. The pipe R is closed 12 minutes before the tank is filled. In what time the tank is full?

On pipe P is 4 times faster than pipe Q and takes 45 minutes less than pipe Q. In what
time the cistern is full if both the pipes are opened together?

Two pipes can fill a tank in 15 and 20 hours respectively. The pipes are opened
simultaneously and it is found that due to the leakage in the bottom, 17/7 hours extra are
taken extra to fill the tank. If the tank is full, in what approximate time would the leak
empty it?

Two pipes A and B can fill a tank in 8 minutes and 12 minutes respectively. If both
the pipes are opened simultaneously, after what time should B be closed so that the tank
is full in 6 minutes?

In what time would a cistern be filled by three pipes whose diameters are 1cm, 2 cm
and 3 cm running together, when the largest pipe alone can fill the tank in 21 minutes?
The amount of water flowing through the pipe is directly proportional to the square of
its diameter.

Two pipes P and Q can fill a tank in 10 min and 12 min respectively and a waste pipe
can carry off 12 litres of water per minute. If all the pipes are opened when the tank is full
and it takes one hour to empty the tank. Find the capacity of the tank.

One pipe fill 1/4 of the tank in 4 minutes and another pipe fills 1/5 of the tank in 4
minutes. Find the time taken by both pipe together to fill half the tank?

Two pipes can separately fill the tank in 15hrs and 30hrs respectively. Both the pipe
are opened and when the tank is 1/3 full a leak is developed due to which 1/3 water
supplied by the pipe leaks out. What is the total time to fill the tank?

Three pipes A, B and C is attached to a cistern. A can fill it in 20 minutes and B can
fill it in 30 minutes. C is a waste pipe. After opening both the pipes A and B, Riya leaves
the cistern to fill and returns when the cistern is supposed to be filled. But she found that
waste pipe C had been left open, she closes it and now the cistern takes 5 minutes more to fill. In how much time the pipe C can empty the full cistern?