PIPES AND CISTERNS1.Two pipes A and B can fill a tank in 36 hours and 45 hours respectively.If both the
pipes are opened simultaneously,how much time will be taken to fill the tank?
a)10 hrs b)15 hrs c)20 hrs d)25 hrs
2.Two pipes can fill a tank in 10 hours and 12 hours respectively while a third pipe
empties the full tank in 20 hours.If all the three pipes operate simultaneously,in
how much time will the tank be filled?
a)7 hrs 30 min b)5 hrs c)7 hrs d)none of these
3.If two pipes function simultaneously,the reserviour will be filled in 12 hours.One
pipe fills the reservoir 10 hours faster than the other.How many hours does it take
the second pipe to fill the reservior?
a)10 b)20 c)30 d)40
4.A cistern has two taps which fill it in 12 minutes and 15 minutes respectively.There
is also a waste pipe in the cistern.When all the three are opened,the empty cistern
is full in 20 minutes.How long will the waste pipe take to empty the full?
a)5 min b)10 min c)15 min d)20 min
5.An electric pump can fill a tank in 3 hours.Because of a leak in the tank it took 3 1/2
hours to fill the tank.If the tank is full,how much time will the leak take to empty
it?
a)17 b)18 c)20 d)21
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 more
to fill the cistern.When the cistern is full in what time will the leak empty it?
a)110 hrs b)111 hrs c)112 hrs d)none of these
7.Two pipes A and B can fill a tank in 36 min and 45 min resp.A water pipe C can empty
the tank in 30 min.First A and B are are opened.After 7 min,C is also opened.In how much
time,the tank is full?
a)19 min b)29 min c)39 min d)49 min
8.Two pipes A and B can fill a tank in 24 min and 32 min. resp.If both the pipes are
opened simultaneously,after how much time B should be closed so that the tank is full
in 18 min?
a)5 min b)8 min c)16 min d)29 min
9.Two pipes A and B can fill a tank in 20 and 30 min resp.If both the pipes are used
together , then how long will it take to fill the tank?
a)12 min b)15 min c)25 min d)50 min
10.Three pipes A,B and C can fill a tank in 6 hours.After working at it together for 2 hrs,
C is closed and A and B can fill the remaining part in 7 hours.The number of hours
taken by C alone to fill the tank is
a)10 b)12 c)14 d)16
11.A cistern can be filled by a tap in 4 hours while it can be emptied by another tap in
9 hrs.If both the taps are opened simulataneously,then after how much time will the
cistern get filled?
a)4.5 hrs b)5 hrs c)6.5 hrs d)7.2 hrs
12.Two pipes A and B can fill a cistern in 37 1/2 minutes and 45 minutes resp.Both pipes
are opened.The cistern will be filled in just half an hour,if the pipe B is turned off
after
a)5 min b)9 min c)10 min d)15 min
13.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?
a)3 hrs 15 min b)3 hrs 45 min c)4 hrs d)4 hrs 15 min
14.Two pipes can fill a tank in 20 and 24 min resp. and a waste pipe can empty 3 gallons
per minute.All the three pipes working together can fill the tank in 15 min.The capacity
of the tank is
a)60 gallons b)100 gallons c)120 gallons d)180 gallons
15.A water tank is two fifth full.Pipe A can fill a tank in 10 min and pipe B can empty it
in 6 min.If both the pipes are open,how long will it take to empty or fill the tank
completely?
a)6 min to empty b)6 min to fill c)9 min to empty d)9 min to fill
16.A leak in the bottom of a tank can empty the full tank in 8 hours.An inlet pipe fills
water at the rate of 6 litres a min.When the tank is full,the inlet is opened and due to
the leak,the tank is empty in 12 hrs.How many litres does the cistern hold?
a)7580 b)7960 c)8290 d)8640
17.Pipe A can fill a tank in 5 hrs,pipe B in 10 hrs and Pipe C in 30 hrs.If all the pipes
are open,in how many hours will the tank be filled?
a)2 b)2.5 c)3 d)3.5
18.A booster pump can be used for filling as well as for emptying a tank.The capacity of
the tank is 2400 cubic meter.The emptying capacity of the tank is 10 m^3 per min higher
than its filling capacity and the pump needs 8 min lesser to empty the tank than it needs
to fill it.What is the filling capacity of the pump?
a)50 b)60 c)72 d)none of these
19.Pipes A and B can fill a tank in 5 and 6 hours respectively.Pipe C can empty it in 12 hrs.
If all the three pipes are opened together,then the tank will be filled in
a)1 13/17 hrs b)2 8/11 hrs c)3 9/17 hrs d)4 1/2 hrs
20.Three taps A,B and C can fill a tank in 12,15 and 20 hours respectively.If A is open all
the time and B and C are open for one hour each alternately,the tank will be full in
a)6 hrs b)6 2/3 hrs c)5 hrs d)7 1/2 hrs
21.Three pipes A,B and C can fill a tank from empty to full in 30 min,20 min and 10 min resp.
When the tank is empty,all the three pipes are opened A,B and C discharge chemical solutions
P,Q and R respectively.What is the proportion of solution R in the liquid in the tank after
3 min
a)5/11 b)6/11 c)7/11 d)8/11
22.Two pipes A and B can fill a tank in 6 hrs and 4 hrs resp.If they are opened on alternate
hours and if pipe A is opened first,in how many hours,the tank shall be full?
a)4 b)4 1/2 c)5 d)5 1/2
23.Two pipes A and B can separately fill a cistern in 60 min and 75 min respectively.There is
a third pipe in the bottom of the cistern to empty it.If all the three pipes are simultaneously
opened,then the cistern is full in 50 min.In how much time,the third pipe alone can empty
the cistern?
a)90 min b)100 min c)110 min d)120 min
24.Two pipes A and B can fill a cistern in 12 min and 15 resp,while a third pipe C can empty
the full tank in 6 min.A and B are kept open for 5 min in the beginning and then C is also
opened.In what time the cistern is emptied?
a)30 min b)33 min c)37 1/2 min d)45 min
25.A pump can fill a tank with water in 2 hrs.Because of a leak,it took 2 1/3 hours to fill the
tank.The leak can drain all the water of the tank in
a)4 1/3 hrs b)7 hrs c)8 hrs d)14 hrs
26.A large tanker can be filled by two pipes A and B in 60 min and 40 min resp.How many min will
it take to fill the tanker from empty state if B is used for half the time and A and B fill
it together for another half?
a)15 min b)20 min c)27.5 min d)30 min
27.Two taps A and B can fill a tank in 5 hrs and 20 hrs resp.If both the taps are open then due
to leakage,it took 30 min more to fill the tank.If the tank is full,how long will it take
for the leakage alone to empty the tank?
a)4 1/2hrs b)9 hrs c)18 hrs d)36 hrs
28.Two pipes A and B can fill a tank in 15 hrs and 20 hrs resp while a third pipe C can empty
the full tank in 25 hrs.All the three pipes are opened in the beginning.After 10 hours,C is
closed.In how much time will the tank be full?
a)12 hrs b)13 hrs c)16 hrs d)18 hrs
29.Two pipes A and B together can fill a cistern in 4 hours.Had they been opened separately,then
B would have taken 6 hours more than A to fill the cistern.How much time will be taken by A
to fill the cistern separately?
a)1 hr b)2 hrs c)6 hrs d)9 hrs
30.Two pipes A and B can fill a tank in 15 min and 20 min resp.Both the pipes are opened together
but after 4 min,pipe A is turned off.What is the total time required to fill the tank?
a)10 min 20 sec b)11 min 45 sec c)12 min 30 sec d)14 min 40 sec
31.One pipe can fill a tank three times as fast as another pipe.If together the two pipes can
fill the tank in 36 min,then the slower pipe alone will be able to fill the tank in
a)81 min b)108 min c)144 min d)193 min
32.A tank is filled in 5 hrs by three pipes A,B and C.The pipe C is twice as fast as B and B is
twice as fast as A.How much time will pipe A alone take to fill the tank?
a)20 hrs b)25 hrs c)35 hrs d)none of these
33.A tank is filled by three pipes with uniform flow.The first two pipes operating simultaneously
fill the tank in the same time during which the tank is filled by the third pipe alone.The
second pipe fills the tank 5 hours faster than the first pipe and 4 hours slower than the
third pipe.The time required by the first pipe is
a)6 hrs b)10 hrs c)15 hrs d)30 hrs
34.12 buckets of water fill a tank when the capacity of each tank is 13.5 litres.How many buckets
will be needed to fill the same tank,if the capacity of each bucket is 9 litres?
a)8 b)15 c)16 d)18
35.Bucket P has thrice the capacity as bucket Q.It takes 60 turns for bucket P to fill the
empty drum.How many turns it will take for both the buckets P and Q,having each turn together
to fill the empty drum?
a)30 b)40 c)45 d)90
36.Two pipes A and B can fill a tank in 12 min and 15 min respectively.If both the taps are opened
simultaneously,and the tap A is closed after 3 minutes,then how much more time will it take
to fill the tank by tap B?
a)7 min 15 sec b)7 min 45 sec c)8 min 5 sec d)8 min 15 sec
37.Pipes A and B can fill a tank in 5 and 6 hours respectively.Pipe C can empty it in 12 hrs.
If all the three pipes are opened together,then the tank will be filled in
a)1 13/17 hrs b)2 8/11 hrs c)3 9/17 hrs d)4 1/2 hrs
38.Three taps A,B and C can fill a tank in 12,15 and 20 hours respectively.If A is open all
the time and B and C are open for one hour each alternately,the tank will be full in
a)6 hrs b)6 2/3 hrs c)5 hrs d)7 1/2 hrs
39.Three pipes A,B and C can fill a tank from empty to full in 30 min,20 min and 10 min resp.
When the tank is empty,all the three pipes are opened A,B and C discharge chemical solutions
P,Q and R respectively.What is the proportion of solution R in the liquid in the tank after
3 min
a)5/11 b)6/11 c)7/11 d)8/11
40.Two pipes A and B can fill a tank in 6 hrs and 4 hrs resp.If they are opened on alternate
hours and if pipe A is opened first,in how many hours,the tank shall be full?
a)4 b)4 1/2 c)5 d)5 1/2
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