Pipes and Cisterns Part-01 (01-15) -Dr. R.S. Aggarwal

00:00 Quantitative Aptitude for Competitive Examinations by S. Chand and Dr. R.S. Aggarwal



Average Part-11 (151-163)) -Dr. R.S. Aggarwal


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1. In 1 minute, 3/7 of a bucket is filled. The rest of the bucket can be filled in
 


 
2. The petrol tank of an automobile can hold g litres. If a litres was removed when the tank was full, what part of the full tank was removed?






3. Water is continuously supplied from a reservoir to a locality at the steady rate of 10,000 liters per hour. 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?




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




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



 
6. 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 to fill the tank completely with the hole?

7. A tap can fill a tank in 48 minutes whereas another tap can empty it in 2 hours. If both the taps an opened at 11: 40 A.M, then the tank will be filled at

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


9. Pipes A and B can fill a tank in 20 hours and 30 hous respectively and pipe C can empty the full tank in 40 hours. lf all the pipes are opened together, how much time will be needed to make the tank full?


10. 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


11. In what time would a cistern be filled by three pipes whose diameters are 1 cm, 1/1/3cm and 2 cm running together, when the largest alone will fill it in 61 minutes, the amount of water flowing in by each pipe, being proportional to the square of its diameter?





12. 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?


13. A cistern has two pipes. One can fill it with water in 8 hours and other can empty it in 5 hours. In how many hours will the cistern be emptied, if both the pipes are opened together when ¾ of the cistern is already full of water?


14. 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 4/1/2 hours, the second in 3 hours and the third can empty it in 1/1/2 hours. If all the pipes are opened simultaneously when the vessel is half full, how soon will it be emptied?
 


 
15. Two pipes A and B can separately fill a cistern in 60 minutes and 75 minutes 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 minutes. In how much time, the third pipe alone can empty the cistern?