Quantitative Aptitude - Pipes and Cisterns - Formula & Concept Quiz

Two pipes A and B can fill a tank in 20 and 30 minutes respectively. If both the pipes are used together, then how long it will take to fill the tank ?

• 1]

  10 mins

• 2]

  12 mins

• 3]

  15 mins

• 4]

  20 mins

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 pipes are opened, the empty cistern is full in 20 minutes. How long will the waste pipe take to empty the full cistern?

• 1]

  12 min

• 2]

  10 min

• 3]

  8 min

• 4]

  16 min

A water tank is two-fifth full.Pipe A can fill a tank in 10 minutes and pipe B can empty it in 6 minutes.If both the pipes are open,how long will it take to empty or fill the tank completely?

• 1]

  6 min to empty

• 2]

  6 min to fill

• 3]

  9 min to empty

• 4]

  9 min to fill

An electric pump can fill a tank in 3 hours. Because of a leak in the tank, it  took 321​ hours to fill the tank. The leak can drain all the water off the tank in

• 1]

  12 hours

• 2]

  10 1/2 hours

• 3]

  6 1/2 hours

• 4]

  21 hours

Two pipes A and B can fill a tank in 15 minutes and 20 minutes respectively. Both the pipes are opened together but after 4 minutes, pipe A is turned off. What is the total time required to fill the tank?

• 1]

  10 min. 20 sec.

• 2]

  11 min. 45 sec.

• 3]

  12 min. 30 sec.

• 4]

  14 min. 40 sec.

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.

• 1]

  6 hours

• 2]

  6 2/3 hours

• 3]

  7 hours

• 4]

  7 1/2 hours

Three pipes A, B and C can fill a tank from empty to full in 30 minutes, 20 minutes, and 10 minutes respectively. 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 the solution R in the liquid in the tank after 3 minutes?

• 1]

  5/11

• 2]

  6/11

• 3]

  7/11

• 4]

  8/11

Pipes A and B can fill a tank in 5 and 6 hours respectively. Pipe C can empty it in 12 hours. If all the three pipes are opened together, then the tank will be filled in:

• 1]

  1 13/17 hours

• 2]

  2 8/11 hours

• 3]

  3 9/17 hours

• 4]

  4 1/2 hours

A pump can fill a tank with water in 2 hours. 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:

• 1]

  4 1/3 hours

• 2]

  7 hours

• 3]

  8 hours

• 4]

  14 hours

Two pipes A and B can fill a cistern in 37 1/2 minutes and 45 minutes respectively. Both pipes are opened. The cistern will be filled in just half an hour, if the B is turned off after:

• 1]

  5 min.

• 2]

  9 min.

• 3]

  10 min.

• 4]

  15 min.

Three pipes A, B and C can fill a tank from empty to full in 30 minutes, 20 minutes, and 10 minutes respectively. 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 the solution R in the liquid in the tank after 3 minutes?

• 1]

  

• 2]

  

• 3]

  

• 4]

  

Pipes A and B can fill a tank in 5 and 6 hours respectively. Pipe C can empty it in 12 hours. If all the three pipes are opened together, then the tank will be filled in:

• 1]

  hours

• 2]

  hours

• 3]

  hours

• 4]

  hours

A pump can fill a tank with water in 2 hours. Because of a leak, it took hours to fill the tank. The leak can drain all the water of the tank in:

• 1]

  hours

• 2]

  7 hours

• 3]

  8 hours

• 4]

  14 hours

Two pipes A and B can fill a cistern in 37.5 minutes and 45 minutes respectively. Both pipes are opened. The cistern will be filled in just half an hour, if the B is turned off after:

• 1] 5 min.
• 2] 9 min.
• 3] 10 min.
• 4] 15 min.

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:

• 1] 6 hours
• 2] 10 hours
• 3] 15 hours
• 4] 30 hours

Two pipes can fill a tank in 20 and 24 minutes respectively and a waste pipe can empty 3 gallons per minute. All the three pipes working together can fill the tank in 15 minutes. The capacity of the tank is:

• 1] 60 gallons
• 2] 100 gallons
• 3] 120 gallons
• 4] 180 gallons
• 5] None of these

A tank is filled in 5 hours 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?

• 1] 20 hours
• 2] 25 hours
• 3] 35 hours
• 4] Cannot be determined
• 5] None of these

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?

• 1] 1 hour
• 2] 2 hours
• 3] 6 hours
• 4] 8 hours

Two pipes A and B can fill a tank in 20 and 30 minutes respectively. If both the pipes are used together, then how long will it take to fill the tank?

• 1] 12 minutes
• 2] 15 minutes
• 3] 25 minutes
• 4] 50 minutes

Two pipes A and B can fill a tank in 15 minutes and 20 minutes respectively. Both the pipes are opened together but after 4 minutes, pipe A is turned off. What is the total time required to fill the tank?

• 1] 10 min. 20 sec.
• 2] 11 min. 45 sec.
• 3] 12 min. 30 sec.
• 4] 14 min. 40 sec.

One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill the tank in 36 minutes, then the slower pipe alone will be able to fill the tank in:

• 1] 81 minutes
• 2] 108 minutes
• 3] 144 minutes
• 4] 192 minutes

A large tanker can be filled by two pipes A and B in 60 minutes and 40 minutes respectively. How many minutes 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 the other half?

• 1] 15 minutes
• 2] 20 minutes
• 3] 27.5 minutes
• 4] 30 minutes

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?

• 1] 3 hrs 15 min
• 2] 3 hrs 45 min
• 3] 4 hrs
• 4] 4 hrs 15 min

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:

• 1]

  6 hours

• 2]

  hours

• 3]

  7 hours

• 4]

  hours

Three pipes A, B and C can fill a tank in 6 hours. After working at it together for 2 hours, 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:

• 1] 10
• 2] 12
• 3] 14
• 4] 16

Water is continuously supplied from a reservoir to a locality at the steady rate of 10000 liters per hours. When delivery exceeds demand the excess water is stored in a tank. If the demand for 8 consecutive three hour periods is 10000, 10000, 45000, 25000, 40000, 15000, 60000 and 35000 liters respectively, what will be the minimum capacity required of the water tank (in thousand liters)to meet the demand and avoid any wastage?

• 1] 10
• 2] 30
• 3] 40
• 4] 50

A pipe can fill a tank in x hours and another pipe can empty it in y (y > x) hours. If both pipes are open, in how many hours will the tank is filled?

• 1]

  (x - y) hours

• 2]

  (y - x) hours

• 3]

  hours

• 4]

  hours

A pipe can fill a tank with water in 3 hours. Due to leakage in bottom, it takes hours to fill it. In what time the leak will empty the completely filled tank?

• 1]

  12 hours

• 2]

  21 hours

• 3]

  hours

• 4]

  hours

Two pipe can fill a cistern in 3 hours and 4 hours respectively and a waste pipe can empty it in 2 hours. If all the three pipes are kept open, then the cistern will be filled in-

• 1] 5 hours
• 2] 8 hours
• 3] 10 hours
• 4] 12 hours

3/4 part of the tank is full of water. When 30 litres of water is taken out, the tank becomes empty. The capacity of the tank is -

• 1] 36 liters
• 2] 42 liters
• 3] 40 liters
• 4] 38 liters

A tank with capacity T liters is empty. If water flows into the tank from pipe X at the rate of x liters per minute and water is pumped out by Y at the rate of y liters per minute and x > y, then how many minutes will the tank be filled?

• 1]

  (x - y) 60 T minutes

• 2]

  (T - x) minutes

• 3]

    minutes

• 4]

   minutes

A pipe can fill a tank in 3 hours. There are two outlet pipes from the tank which can empty it in 7 and 10 hours respectively. If all the three pipes are opened simultaneously, then the tank will be filled in -

• 1] 8 hours
• 2] 9 hours
• 3] 10 hours
• 4] 11 hours

A vessel has three pipes connected to it , two to supply liquid and one to draw liquid. The first alone can fill the vessel in hours, the second in 3 hours and the third can empty it in hours. If all the pipes are opened simultaneously when the vessel is half full, how soon will it be emptied?

• 1]

  hours

• 2]

   hours

• 3]

  hours

• 4]

  None of these

Two pipe A and B can fill a water tank in 20 and 24 minutes respectively and a third pipe C can empty at the rate of 3 gallons per minute. If A, B and C are open together to fill the tank in 15 minutes, find the capacity of tank?

• 1] 180 gallons
• 2] 150 gallons
• 3] 120 gallons
• 4] 60 gallons

Three pipes P, Q and R can separately fill a cistern in 4, 8 and 12 hours respectively. Another pipe S can empty the completely filled cistern in 10 hours. Which of the following arrangements will fill the empty cistern in less time than others?

• 1] Q alone is open
• 2] P, R and S are open
• 3] P and S are open
• 4] P, Q and S are open

A tank has a leak which would empty the completely filled tank in 10 hours. If the tank is full of water and a tap is opened which admits 4 litres of water per minute in the tank , the leak takes 15 hours to empty the tank. How many litres of water does the tank hold?

• 1] 2400 litters
• 2] 4500 litters
• 3] 1200 litters
• 4] 7200 litters

A swimming pool is filled by three pipes with uniform flow. The first two pipes operating simultaneously fill the pool in the same time during which the pool is filled by the third pipe alone. The second pipe fills the pool 5 hours faster than the first pipe and 4 hours slower than the third pipe. The time required by the first pipe is?

• 1] 6 hours
• 2] 10 hours
• 3] 15 hours
• 4] 30 hours

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

• 1] 8
• 2] 15
• 3] 16
• 4] 18

Two pipes A and B can fill a tank in 20 and 30 hours respectively. Both the pipes are opened to fill the tank but when the tank is one - third full, a leak develops in the tank through which one - third water supplied by both the pipes gose out. The total time taken to fill the tank is?

• 1] 12 hours
• 2] 14 hours
• 3] 16 hours
• 4] 18 hours

Two pipes can fill a tank in 40 and 48 minutes respectively and a waste pipe can empty 3 gallons per minutes. All the three pipes working together can fill the tank in 30 minutes, The capacity of the tank is-

• 1] 60 gallons
• 2] 120 gallons
• 3] 180 gallons
• 4] 240 gallons

An outlet pipe can empty a cistern in 3 hours. In what time will empty 2/3 of the cistern?

• 1] 3 hours
• 2] 5 hours
• 3] 2 hours
• 4] 4 hours

A tank is 7 metre long and 4 meter wide wide. At what speed should water run through a pipe 5 cm broad and 4 cm deep so that in 6 hours and 18 minutes water level in the tank rises by 4.5 meter?

• 1] 10 km/hours
• 2] 12 km/hours
• 3] 8 km/hours
• 4] None of these

Two pipes can fill a tank in 12 hours and 16 hours respectively. A third pipe can empty the tank in 30 hours. If all three pipes are opened and functions simultaneously, how much time will the tank take to be full?( in hours )

• 1]

  

• 2]

  

• 3]

  

• 4]

  

A tap can completely fill a water tank in 8 hours. The water tank has a hole in it through which the water leaks out. The leakage will cause the full water tank to get empty in 12 hours. How much time will it take for the tap the the tank completely with the hole?

• 1] 16 hours
• 2] 18 hours
• 3] 24 hours
• 4] None of these

A tank can be filled by pipe A in 2 hours and pipe B in 6 hours. At 10 A.M. pipe A was opened. At what time will the tank be filled if pipe B is opened at 11 A.M. ?

• 1] 12.45 A.M.
• 2] 5 P.M.
• 3] 11.45 A.M.
• 4] 12 P.M.

A water tank can be filled by a tap in 30 minutes and another tap can fill it in 60 minutes. If both taps are kept open for 5 minutes and then the first tap is closed, how long will it take foe the tank to be filled ?

• 1] 20 minutes
• 2] 25 minutes
• 3] 30 minutes
• 4] 45 minutes

A pipe can fill a tank in x hours and another can empty it in y hours. In how many hours they together fill it in ( y > x) ?

• 1]

  (x - y) hours

• 2]

  (y - x) hours

• 3]

   hours

• 4]

  hours

A water tap fills a tub in 'p' hours and a sink at the bottom empties it in 'q' hours. If p < q and both tap and sink are opened the tank is filled in 'r' hours, then the relation between p, q, r :

• 1]

  1/r = 1/p +1/q

• 2]

  1/r = 1/p -1/q

• 3]

  r = p + q

• 4]

  r = p - q

Three taps A, B, C can fill an overhead tank in 4, 6 and 12 hours respectively. How long would the three taps take to fill the tank if all of them are opened together ?

• 1] 2 hours
• 2] 4 hours
• 3] 3 hours
• 4] 5 hours

Having the same capacity 9 taps fill up a water tank in 20 minutes. How many taps of the same capacity are required to fill up the same water tank in 15 minutes ?

• 1] 10 taps
• 2] 12 taps
• 3] 15 taps
• 4] 18 taps

Pipe A can fill a tank in 4 hours and pipe B can fill it 6 hours. If they are opened on alternate hours and if pipe A is opened first then in how many hours, the tank shall be full ?

• 1]

  hours

• 2]

  hours

• 3]

  hours

• 4]

  hours

Pipe A can fill the tank in 8 hours and pipe B can fill it in 12 hours. If pipe A is opened at 7:00 AM and pipe B is opened at 9:00 AM, then at what time will the tank be full ?

• 1] 12:00 PM
• 2] 12:30 PM
• 3] 11:48 PM
• 4] 12:36 PM

Two pipes A and B can fill a tank with water in 30 minutes and 45 minutes respectively. The third pipe C can empty the tank in 36 minutes. First A and B are opened. After 12 minutes C is opened. Total time ( in minutes ) in which the tank will be filled up is -

• 1] 12 minutes
• 2] 24 minutes
• 3] 30 minutes
• 4] 36 minutes

Three pipes A, B and C can fill a tank in 6 hours, 9 hours and 12 hours respectively. B and C are opened for half an hour, then A is also opened. The time taken by the three pipes together to fill the remaining part of the tank is -

• 1]

  3 hours

• 2]

  2 hours

• 3]

   hours

• 4]

  hours

A tap drips at a rate of one drop/second. 600 drops make 100 ml. The number of liters wasted in 300 days is -

• 1] 4320000 liters
• 2] 432000 liters
• 3] 43200 liters
• 4] 4320 liters