Pipe & Cisten

MATHS By : By:
P.K.P.KSir
Sir
1. Two pipes M and N can fill up a cistern in 40 and 60 6. A leakage empties a cistern in 8 hours. A pipe which
minutes respectively. If both pipes are opened together, discharges 12 L/m water upon which being put in
how much time will cistern need to get filled up? operation, leakage takes 12 hours, find out the capa-
M N 40 60 bility of cistern?
8 12 L/
m
(A) 12 Minutes / (B) 18 Minutes / 12
(C) 24 Minutes / (D) 48 Minutes / (A) 17280 Litre / (B) 16280 Litre /
2. A pipe can fill up a cistern with water in 8 hours. (C) 18640 Litre / (D) 14640 Litre /
Some other pipe can empty the cistern in 6 hours. If 7. A leakage empties a cistern in 6 hours. A pipe which
the cistern is fully filled up and both pipes are opened, discharges 20 L/m water upon which being put in
how much time will be needed to empty the cistern? operation, the leakage now takes 12 hours, what is
8 the capability of cistern?
6 6 20 L/
m
9
(A) 20 hours / (B) 24 hours / (A) 21600 Litre / (B) 20600 Litre /
(C) 28 hours / (D) 32 hours / (C) 19600 Litre / (D) 13600 Litre /
3. Two pipes can fill up a cistern in 5 hours and 3 hours
7
respectively and some other pipe can empty it in 2 8. part of a tank is filled up in 14 minutes. How much
hours. If all the three pipes are opened, how much 9
time will be needed to fill up the cistern? time will be needed to fill up tank fully?
5 3 7
2 14
9

(A) 30 hours / (B) 20 hours / (A) 14 minutes / (B) 16 minutes /

(C) 10 hours / (D) 5 hours / (C) 18 minutes / (D) 19 minutes /
4. 16 pumps empty a fully filled up tank in 18 days 9. Two pipes M and N can fill up a tank in 16 hours
while being in operation for 7 hours each day. How and 14 hours. If they are put in operation one by one
many such pumps will be able to empty the tank in for one hour each and pipe M is opened first, how
9 days while being in operation for 8 hours? much time will be needed to fill up the tank?
7 16 18 M N 16 14
8 M
9
(A) 14 (B) 20 (C) 24 (D) 28 (A) 12 hours / (B) 15 hours /
5. 14 pumps empty a fully filled up tank in 20 days
(C) 18 hours / (D) 20 hours /
while being in operation for 11 hours a day. If 10
10. Two pipes can fill up a cistern in 20 minutes and 30
pumps are put in operation for 7 hours a day, how
minutes respectively. A person puts both pipes in op-
many days will be needed to empty the tank?
eration at once. When the cistern should be filled up,
11 14 20 it is noticed that water discharging pipe is also in
10 7 operation. He immediately closed it and the cistern
is filled up in 8 minutes after this. How much time
(A) 11 days / (B) 22 days / may it have taken by the discharging pipe to empty
the cistern?
(C) 33 days / (D) 44 days /

KGS Campus Patna –6 Mob. : 8877918018, 8757354880 KGS – 1.

 P Q 20 30 (A) 3 hours / (B) 2 hours /

(C) 11 hours / (D) 4 hours /

2
8 15. Three pipes A, B and C can fill up a tank in 8, 12 and
24 hours respectively. If A is opened for the whole
time and B and C are opened one by one for 1 hour,
how much time will the tank to be filled up?
(A) 8 minutes / (B) 12 minutes / A, B C 8 12 24
(C) 18 minutes / (D) 15 minutes / A B
11. Two pipes J and K can fill up a tank in 30 minutes C 1
and 60 minutes respectively. A person puts both pipes
A
in operation on and when the tank should be filled
up the person notices that discharging pipe is also in B
operation. He immediately closes it and the tank was 1
filled up in 10 minutes after this. Find out time taken (A) 5 minutes /
4
by discharging pipe to empty the tank.
J K 30 60 1
(B) 4 minutes /
5
1
(C) 5 minutes /
10 5
(D) None of these /
16. Three pipes L, M and N fill up a tank in 10 hours, 15
(A) 20 minutes / (B) 15 minutes / hours and 20 hours respectively. If L is opened for
the whole time and M and N are opened one by one
(C) 40 minutes / (D) 22 minutes /
for 7 minutes how much time will the tank tae to be
12. Two pipes P and Q can fill up a cistern in 30 minutes filled up?
and 35 minutes respectively. Both pipes are put in
L, M N 10 15
operation together but after 5 munutes pipe P is closed
how much time will Q take now to fill up the cis- 20 L
tern? M, N 7
P Q 30 35
5 L N
P Q (A) 6 hours 20 minutes / 6 20
(B) 5 hours18 minutes / 5 18
(C) 6 hours 18 minutes / 6 18
1 23 1 24
(A) 6 (B) 1 (C) 24 (D) 1 (D) None of these /
24 24 6 25
17. Two taps A and B fill up a tank in 10 and 15 hours
13. 23 taps out of which just one tap makes water flow
respectively whereas another tap C empties the filled
can fill up a cistern in 18 minutes but it takes 46
up tank in 20 hours. Initially all the three taps are
minutes following some taps getting lcaput. Find out
opened and tap C is closed after five hours, how much
the number of such lcaput taps?
time will the take take to be filled up?
23
10 15
18
20
46
5

(A) 4 (B) 9 (C) 12 (D) 14

14. A can fill up a cistern in 4 hours, B in 8 hours and C (A) 4 hours 24 minutes / 4 24
in 16 hours. All the three are started togather but A (B) 5 hours / 5
and B are closed 2 hours after getting started, how (C) 7 hours 30 minutes / 7 30
much time will C take to fill up the remaining por-
(D) None of these / /
tion?
18. There are three taps L, M and N in a tank. L and M
A, 4 B, 8 C, 16
can fill up a tank in 6 and 4 hours respectively and
A B N can empty it in 1 hour. If taps are opened in the
2 C afternoon that very day at 2, 3 and 4 pm at, what
time will the tank be empticd?

KGS Campus Patna –6 Mob. : 8877918018, 8757354880 KGS – 2.

 L, M N3 L M 6 4 A B
N 1 C
2 3 4 A A
B C
(A) 5 am (B) 5 pm
(C) 6 pm (D) 5.30 pm (A) 18 hours (B) 16 hours
19. Three pipes M, N and O can fill up a tank in 5 hours. (C) 15 hours (D) 16.5 hours
P's ability to fill up 4 times as much as of N's ability
24. Pipe A can fill a tank in 3 hours. Pipe B can fill in 4
and N's ability is three times as much as M's ability.
hours and Pipe C can empty in 1 hour. All Three
Hence, how much time will M take to alone fill up
Pipes are opened in order, at 3 pm, at 4 pm and 5 pm
the tank?
respectively. The tank will be emptied at?
P, Q R 3 P Q 3
A B C
4 R 1
A B C
6 7 8

(A) 7 : 30 pm (B) 7 : 45 pm
(A) 10.12 hours / (B) 8.10 hours /
(C) 7 : 12 pm (D) 7 : 20 pm
(C) 8 hours / (D) 8.10 hours / 25. A pipe can fill a tank in 10 hours. An outlet pipe
20. Three pipes X, Y and Z canfill up a tank in 8 hours. drains the water at the rate of 50 lt / hour. Then the
After being put in operation together for 3 hours, 2 is tank fills in 15 hours. Find the capacity of tank.
closed and later Y fills it up in 10 hours. How much
time will 2 take to alone fill up the tank?
X, Y Z 8 3
Z X
(A) 1200 lt (B) 1500 lt
Y 10 Z
(C) 2000 lt (D) 1600 lt
26. A tank has 8 pipes. Out of which some are inlets and
(A) 20 hours / (B) 15 hours / some are outlets. Inlet pipe can fill a tank in 8 hours
(C) 16 hours / (D) 12 hours / and outlet pipe can empty the tank in 6 hours. If all
21. A pipe can fill a tank in 20 minutes. Another pipe pipes are opened together, then the tank get filled in
can empty that tank in 25 minutes. If both are opened 8 hours. Find the number of inlets and outlets pipe.
alternatively, then the tank will be filled in how much
time?

(A) 200 min (B) 191 min (A) I = 5, O = 3 (B) I = 3, O = 5

(C) 180 min (D) 250 min (C) I = 6, O = 2 (D) I = 2, O = 6
22. A pipe can fill a tank in 20 minutes. Another pipe 27. Out of 7 pipes some are inlets and some are outlets.
can empty that tank in 30 minutes. It both are opened Inlet pipe can fill a tank in 5 hours and outlet pipe
alternatively. How long will it take to fill the tank? can empty tank in 4 hours. If all the pipes are opened
together then the tank get filled in 20 hours. Find
the number of inlets and outlets pipe.

(A) 120 minutes (B) 125 minutes

(C) 150 minutes (D) 115 minutes
23. Pipe A can fill a tank in 20 hours. Pipe B can fill a
tank in 12 hours. Pipe C can empty that tank in 15
hours. Pipe A is open all the time and B and C are (A) I = 4, O = 3 (B) I = 2, O = 5
open for one hour each alternatively. Then the tank (C) I = 3, O = 4 (D) I = 5, O = 2
will be full in how much time.

KGS Campus Patna –6 Mob. : 8877918018, 8757354880 KGS – 3.