Pipes and Cistern

Pipes and Cistern

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Aptitude miscellaneous
  1. A cistern has a leak which would empty it in 15 hours. A tap is turned on which admits 2 litres per hour into the cistern and it is now emptied in 10 hours. How many litres does the cistern hold ?








  1. View Hint View Answer Discuss in Forum

    Here w = 2 litres per hour
    ∴ Required answer = {(15 x 10) / (15 - 10)} x 2 = 60 litres.

    Correct Option: B

    Here w = 2 litres per hour
    ∴ Required answer = {(15 x 10) / (15 - 10)} x 2 = 60 litres.

  1. A cistern can be filled by two pipes in 30 and 40 minutes respectively. Both the pipes were opened at once, but after some time the first was shut up and the cistern was filled in 10 minutes more. How long after the pipes had opened was the first pipe shut up ?








  1. View Hint View Answer Discuss in Forum

    Let the first pipe be shut up after x minutes
    Now, applying the given rule, we have 30{1 - (x + 10)/40 } = x

    Correct Option: B

    Let the first pipe be shut up after x minutes
    Now, applying the given rule, we have 30{1 - (x + 10)/40 } = x
    [Here t = (x + 10) minutes]
    or x = 90/7 minutes

  1. A cistern can be filled by two pipes. A and B in 12 minutes and 14 minutes respectively and can be emptied by a third pipe C in 8 minutes. If all the taps be turned on at the same moment, what part of cistern will remain unfilled at the end of 7 minutes ?








  1. View Hint View Answer Discuss in Forum

    Time taken to fill the whole tank = (12 x 14 x 8) / (14 x 8 + 12 x 8 - 12 x 14) = 168/5 minutes

    Correct Option: B

    Time taken to fill the whole tank = (12 x 14 x 8) / (14 x 8 + 12 x 8 - 12 x 14) = 168/5 minutes
    ∴ In 7 minutes 5/168 x 7 = 5/24 part of the tank will be filled
    ∴ Requied answer = 1 - 5/24 = 19/24 part

  1. Top A can fill a water tank in 25 minutes, tap B can fill the same tank in 40 minutes and tap C can empty the tank in 30 minutes. If all the three taps are opened together, in how many minutes will the tank be completely filled up or emptied ?








  1. View Hint View Answer Discuss in Forum

    Required answer = (25 x 40 x 30) / (40 x 30 + 25 x 30 - 25 x 40)

    Correct Option: D

    Required answer = (25 x 40 x 30) / (40 x 30 + 25 x 30 - 25 x 40)
    = 600 / 19 = 3111/19 minutes

  1. A water tank is 2/5th full pipe A can fill the tank in 10 minutes and the 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. View Hint View Answer Discuss in Forum

    Time taken to fill or empty the whole tank = (6 x 10) /(6 - 10) = - 15 minutes
    - ve sign shows that the tank will be emptied.

    Correct Option: A

    Time taken to fill or empty the whole tank = (6 x 10) /(6 - 10) = - 15 minutes
    - ve sign shows that the tank will be emptied.

    ∴ 2/5th full of the tank will be emptied in 15 x 2/5 = 6 minutes