Pipe and Cistern (SSC)

Total Questions: 50

41. Two inlet pipes, P1 and P2, can fill a cistern in 20 hours and 30 hours, respectively. They were opened at the same time, but pipe P1 had to be closed 5 hours before the cistern was full. How many hours in total did it take for the two pipes to fill the cistern? [SSC CGL 19/09/2024 (3rd Shift)]

Correct Answer: (a) 15 hours
Solution:


42. A tank can be filled by pipe A in 4 hours and pipe B in 6 hours. At 8 : 00 a.m., pipe A was opened. At what time will the tank be filled if pipe B is opened at 9 : 00 a.m.? [SSC CGL 23/09/2024 (1st Shift)]

Correct Answer: (c) 10 : 48 a.m.
Solution:

43. One pipe can fill a tank 6 times faster than another pipe. If both the pipes together can fill the tank in 40 minutes, then in how many minutes will the slower pipe alone be able to fill the tank? [SSC CGL 24/09/2024 (1st Shift)]

Correct Answer: (d) 280
Solution:

44. Pipe A takes 4/5 of the time required by pipe B to fill an empty tank individually. When an outlet pipe C is also opened simultaneously with pipes A and B, it takes 4/5 more time to fill the empty tank than it takes when only pipe A and pipe B are opened together. If it takes 40 hours to fill the tank when all the three pipes are opened simultaneously, in what time (in hours) will pipe C empty the full tank, operating alone? [SSC CGL 24/09/2024 (2nd Shift)]

Correct Answer: (a) 50
Solution:



45. Pipe A can fill a cistern in 4 hours and Pipe B can fill the same cistern in 5 hours. Pipe C can empty a full cistern in 3 hours. If all three pipes are opened together, then the time (in minutes) taken to fill the tank is: (round to the nearest minute) [SSC CGL 24/09/2024 (3rd Shift)]

Correct Answer: (d) 514
Solution:

46. Two pipes X and Y can fill a tank in 14 hours and 21 hours, respectively. Both pipes are opened simultaneously to fill the tank. In how many hours will the empty tank be filled? [SSC CGL 25/09/2024 (2nd Shift)]

Correct Answer: (a)
Solution:

47. One pipe can fill a tank four times as fast as another pipe. If together the two pipes can fill the tank in 48 minutes, the slower pipe alone will be able to fill the tank in: [SSC CGL 26/09/2024 (1st Shift)]

Correct Answer: (c) 240 minutes
Solution:

48. Pipes A and B can fill a tank in 18 hours and 27 hours, respectively, whereas pipe C can empty the full tank in 54 hours. All three pipes are opened together, but pipe C is closed after 12 hours. In how much time (in minutes) will the one-third of the remaining part of the tank be filled by A and B together? [Higher Secondary 21/06/2024 (Shift - 2)]

Correct Answer: (a) 24
Solution:

49. Two pipes can fill a cistern separately in 36 minutes and 45 minutes, respectively. A waste pipe can drain off 40 litres per minute. If all the three pipes are opened, the cistern fills in one hour. The capacity (in litres of the cistern) is: [SSC CHSL Tier II 10/01/2024]

Correct Answer: (b) 1200
Solution:

50. Inlet Pipes A and B can together fill an empty tank in 1.5 hours. Outlet Pipe C, when opened alone, can empty the completely filled tank, in 4.5 hours. When only Pipes A and C are opened together, the empty tank is filled in 6 hours. Find the time taken by Pipe B, when opened alone, to fill the empty tank. [SSC CGL 19/07/2023 (2nd shift)]

Correct Answer: (b) 3 hours 36 minutes
Solution: