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Home Aptitude Pipes and Cistern Comments

  • Question
  • A tank can be filled by a tap in 20 min and by another tap in 60 min. Both the taps are kept open for 5 min and then the 1st tap is shut off. After this, how much time the tank will be completely filled?


  • Options
  • A. 20 min
  • B. 30 min
  • C. 45 min
  • D. 40 min

  • Correct Answer
  • 40 min 

    Explanation

    Part of the tank filled by both taps in 5 min = 5 x (1/20 + 1/60)
    = 5 x (6 +2 )/120 = 8/24 = 1/3
    ? Remaining part = (1 - 1/3) = 2/3
    ? 1/60 Part is now filled in 1 min.
    ? 2/3 Part is now filled in 60 x 2/3 = 40 min.


  • Pipes and Cistern problems


    Search Results


    • 1. 
      Two pipes can fill a tank in 20 and 24 min, respectively and a waste pipe can empty 6 gallon per min. All the three pipes working together can fill the tank in 15 min. Find the capacity of the tank.

    • Options
    • A. 210 gallon
    • B. 50 gallon
    • C. 150 gallon
    • D. 240 gallon
    • Discuss
    • 2. 
      There are three pipes connected with a tank. The first pipe can fill 1/2 part of the tank in 1 h, second pipe can fill 1/3 part of the tank in 1 h. Third pipe is connected to empty the tank. After opening all the three pipes, 7/12 part of the tank can be filled in 1 h, then how long will third pipe take to empty the full tank.

    • Options
    • A. 3 h
    • B. 4 h
    • C. 5 h
    • D. 6 h
    • Discuss
    • 3. 
      Two pipes A and B are opened together to fill a tank. Both pipes fill the tank in a certain time. If A separately takes 16 min more than the time taken by ( A + B ) and B takes 9 min more than the time taken by ( A + B ). Find the time taken by A and B to fill the tank when both the pipes are opened together.

    • Options
    • A. 10 min
    • B. 12 min
    • C. 15 min
    • D. 8 min
    • Discuss
    • 4. 
      Two pipes P and Q can fill a cistern in 12 and 15 min, respectively. If both are opened together and at the end of 3 min, the first is closed. How much longer will the cistern take to fill?

    • Options
    • A. 81/4 min
    • B. 83/4 min
    • C. 5 min
    • D. 81/2 min
    • Discuss
    • 5. 
      A, B and C are three pipes connected to a tank. A and B together fill the tank in 6 h, B and C together fill the tank in 10 h and A and C together fill the tank in 12 h. in how much time A, B and C fill up the tank together?

    • Options
    • A. 9 h
    • B. 53/7 h
    • C. 52/7 h
    • D. 55/7 h
    • Discuss
    • 6. 
      A cistern has three pipes A, B and C. Pipes A and B can fill it in 3 and 4 h, respectively, while pipe C can empty the completely filled cistern in 1 h. If the pipes are opened in order at 3:00 pm, 4:00 pm and 5:00 pm, respectively , at what time will the cistern be empty?

    • Options
    • A. 6:15 pm
    • B. 7:12 pm
    • C. 8:12 pm
    • D. 8:35 pm
    • Discuss
    • 7. 
      There are three taps of diameter 1 cm, 4/3 cm and 2 cm, respectively. The ratio of the water flowing through them is equal to the ratio of the square of their diameters. The biggest tap can fill the tank alone in 61 min. If all the taps are opened simultaneously, how long will the tank take to be filled?

    • Options
    • A. 44 min
    • B. 45 min
    • C. 155/18
    • D. None of the above
    • Discuss
    • 8. 
      Two pipes can fill a cistern in 14 and 16 h, respectively. The pipes are opened simultaneously and it is found that due to leakage in the bottom, it took 92 min more to fill the cistern. When the cistern is full, in what time will the leak empty it?

    • Options
    • A. 4319/23 h
    • B. 4317/23 h
    • C. 4313/23 h
    • D. 4319/23 h
    • Discuss
    • 9. 
      Three taps A,B and C can fill a cistern in 10, 15 and 20 minutes respectively. They are all turned on at once, but after 3 minutes C is turned off. How many minutes longer will A and B take to fill the cistern?

    • Options
    • A. 2 min.
    • B. 2 min. 6 sec.
    • C. 1 min. 6 sec.
    • D. 3 min. 8 sec.
    • Discuss
    • 10. 
      A cistern can be filled by one of two pipes in 30 minutes and by the other in 36 minutes. Both pipes are opened together for a certain time but being particularly clogged only 5 / 6 of the full quantity of water flows through the former and only 9 / 10 through the later. The obstructions, however, being suddenly removed the cistern is filled in 15 1/ 2 minutes from that moment. How long was it before the full flow of water began?

    • Options
    • A. 1 minutes
    • B. 2 minutes
    • C. 21/2 minutes
    • D. 11/2 minutes
    • Discuss


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