**PIPES AND CISTERNS**

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 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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