business mathematics

PIPES AND CISTERNS practice problems:

For PIPES AND CISTERNS concept click: http://business-maths.blogspot.com/2008/08/pipes-and-cisterns.html

For solved problems click: http://business-maths.blogspot.com/2008/11/pipes-and-cisterns-problems.html

Practice problems:

1.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