Pipes and Cisterns

Q. If two pipes function simultaneously, the reservoir will be filled in 12 hours. One pipe fills the reservoir 10 hours faster than the other. How many hours it takes the second pipe to fill the reservoir?

1. 25 hrs
2. 28 hrs
3. 30 hrs
4. 35 hrs

Q. A cistern is normally filled in 8 hrs, but it takes 2 hours longer to fill because of a leak in its bottom. If the cistern is full, the leak will empty it in.

1. 35 hours
2. 45 hours
3. 40 hours
4. None of these

Q.

A cistern can be filled by two pipes $a$and $b$in $10$and $15$hours respectively and is then emptied by a tap in $8$hours.If all the taps are opened, then cistern will be fill in how many hours?

Q. 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 P and Q, having each turn together to fill the drum?

1. 30
2. 40
3. 45
4. 90

Q. 12 buckets of water fill a tank when the capacity of each bucket is 13.5 liters. How many buckets will be needed to fill the same tank, if the capacity of each bucket is 9 liters?

1. 8
2. 16
3. 15
4. 18

Q. Two pipes A and B can fill a cistern in 12 minutes and 16 minutes respectively. If both the pipes are opened together, then after how much time B should be closed so that the tank is full in 9 minutes?

1. $3\frac{1}{2}min$
2. 4 min
3. $4\frac{1}{2}min$
4. $4\frac{3}{4}min$

Q. A cistern has two taps which fill it in 12 minute and 15 minutes respectively. There is also a waste in the cistern. When all the pipes are opened empty cistern is full 20 minutes. How long waste pipe take to empty a full cistern?

1. 8 minutes
2. 10 minutes
3. 12 minutes
4. 16 minutes.

Q. Two pipes A and B can fill a cistern in 4 minute , 6 minutes, respectively. If these pipes are turn on alternately for 1 minute each how long will its the cistern to fill?

1. 4 min 40 sec
2. 3 min 20 sec
3. 4 min 50 sec
4. 3 min 30 sec

Q. An electric pump can fill a tank in 3 hours. Because of a leak in the tank, it took 7/2 hours to fill the tank. The leak can drain out all the water of the tank in:

1. 10:30 hrs
2. 12 hrs
3. 21 hrs
4. 24 hrs

Q. Two pipes P and Q can fill a tank in 6 hours and 9 hours respectively, while a third pipe R can empty the tank in 12 hours. Initially, P and R are open for 4 hours. Then P is closed and Q is opened. After 6 more hours R is closed. The total time taken to fill the tank (in hours) is _____

1. 16.50 hrs
2. 15.50 hrs
3. 14.50 hrs
4. 13.50 hrs

Q. A tap can fill a tank in 25 minutes and another can empty it in 50 minutes. Find whether the tank will be filled up or emptied and in how many minutes?

1. Tank is filled up in 50 minutes
2. Tank is emptied in 25 minutes
3. Tank is filled up in 25 minutes
4. None of these

Q. Two taps A and B can fill tank in 10 hours and 15 hours, respectively. If both the taps are opened together the tank will be full in:

1. 8 hours
2. 6 hours
3. 5 hours
4. None of these

Q. 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 the tank will be filled?

1. 7 hrs
2. 8 hrs
3. 7 hrs 30 min
4. 8 hrs 30 min.

Q. If two pipes function simultaneously, the reservoir will be filled in 12 hours. One pipe fills the reservoir 10 hours faster than the other. How many hours the faster pipe take to fill the reservoir?

1. 35 hours
2. 30 hours
3. 40 hours
4. None of these

Q. An oil tank can be filled by pipe X in 5 hours and pipe Y in 4 hours, each pump working on its own. When the oil tank is full and the drainage hole is open, the oil is drained in 20 hours. If initially the tank was empty and someone started the two pumps together but left the drainage hole open, how many hours will it take for the tank to be filled? (Assume that the rate of drainage is independent of the Head)

1. 4.00 hrs
2. 1.50 hrs
3. 2.00 hrs
4. 2.50 hrs

Q.

A cistern can be filled by three pipes with uniform flow. The first two pipes operating simultaneously, fill the cistern at the same time during which the cistern is filled by the third pipe alone. The second pipe fills the cistern $5$ hours faster than the first pipe and $4$ hours slower than the third pipe. Find the time required by each pipe to fill the cistern individually.

Q. Two pipes can fill a tank in 10 hours and 12 hours, respectively. While a third pipe can empty the full tank in 20 hours. If all the three pipes operate simultaneously, in how much time the tank filled?

1. 7 hours 30 minutes
2. 6 hours 40 minutes
3. 8 hour 30 minutes
4. None of these

Q. A tap can fill a tank in 25 minutes and another can empty it in 50 minutes. Find whether the tank will be filled up or emptied and in how many minutes?

1. Tank is filled up in 50 minutes
2. Tank is emptied in 25 minutes
3. Tank is filled up in 25 minutes
4. None of these

Q.

To fulfill an assignment by a given deadline, a team of workers had to produce $54$ parts daily. Exceeding the schedule by $6$ parts per day, the team not only finished the assignment $1$ day earlier, but also produced $18$ extra parts. How many days did the team work?