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Pipes and Cisterns

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by

EMPERIND

on 8 October 2018

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Transcript of Pipes and Cisterns

Two pipes
A and B
can fill a tank in
24 hours
and
30 hours
respectively. If both the pipes are opened simultaneously in the empty tank, how much time will be taken by them to fill it?
Sol:
Part filled by A in 1 hour =
2.
A pipe can fill a tank in
15 hours.
Due to a leak in the bottom, it is filled in
20 hours.
If the tank is full, how much time will the leak take to empty it?
sol:
3.
Pipes A and B can fill a tank in
6 hours
and
9 hours
respectively and pipe C can empty it in
12 hours.
If all the pipes are opened together in the empty tank in how much time will it be full?
Sol:
4.
Two pipes A and B can fill a tank in
24 minutes
and
32 minutes
respectively. If both the pipes are opened together, after how much time B should be closed so that the tank is full in
18 minutes.
Sol:
5.Two pipes A and B can fill a tank in
1 hour
and
75 minutes
respectively. There is also an outlet C. If also the three pipes are opened together, the tank is full in
50 minutes.
How much time will be taken by C to empty the full tank?
Sol:
6. 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 it took
32 minutes.
How much time will be taken by C to empty the full tank?
Sol:
Sol:
8.Two pipes can fill a tank in
20 minutes
and
30 minutes
respectively. If both the pipes are opened simultaneously, then the tank will be filled in
Sol:
9.A tap can fill a cistern in
8 hours
and another tap can empty it in
16 hours.
If both the taps are open, the time to fill the tank will be:
Sol:
10.A pump can fill a tank with water in
2 hours.
Because of a leak in the tank it takes

hours
to fill the tank. The leak can empty the filled tank in.
Sol:
11.A tap can fill a tank in
6 hours.
After half the tank is filled, three more similar taps are opened. What is the total time taken to fill the tank completely?
Time taken by the tap to make the tank half-full = 3 hours.
Sol:
12.A leak in the bottom of a tank can empty the full tank in
6 hours.
An inlet pipe fills water at the rate of
4 litres
per minute. When the tank is full, the inlet is opened and due to the leak, the tank is empty in
8 hours.
The capacity of the tank is:

Sol:
7.
Full transcript