Pipes and Cistern


  1. A cistern is normally filled in 8 hrs. but takes 2 hrs. longer to fill because of a leak in its bottom. If the cistern is full, the leak will empty it in ?









  1. View Hint View Answer Discuss in Forum

    Here x = 8 hrs. and y = 8 + 2 = 10 hrs.
    Now, applying the given rule, we have the
    Required answer = (8 x 10) /(10 - 8) = 40 hrs.

    Correct Option: B

    Here x = 8 hrs. and y = 8 + 2 = 10 hrs.
    Now, applying the given rule, we have the
    Required answer = (8 x 10) /(10 - 8) = 40 hrs.


  1. A pipe can empty a tank in 12 minutes and another pipe can empty it in 16 minutes. If both the pipes are opened simultaneously, find the time in which a full tank is emptied ?









  1. View Hint View Answer Discuss in Forum

    Required answer = (12 x 16) /(12 + 16) = 48 / 7 = 66/7 minutes.

    Correct Option: D

    Required answer = (12 x 16) /(12 + 16) = 48 / 7 = 66/7 minutes.



  1. A cistern is normally filled in 8 hours but takes two hours longer to fill because of a leak in its bottom. If the cistern is full, the leak will empty it in ?









  1. View Hint View Answer Discuss in Forum

    Work done by leak in 1 hour = (1/8 - 1/10) = 1/40

    Correct Option: D

    Work done by leak in 1 hour = (1/8 - 1/10) = 1/40
    ∴ The leak will empty the cistern in 40 hours.


  1. If a pipe fills a tank in 6 h, then what part of the tank will the pipe fill in 1 h?









  1. View Hint View Answer Discuss in Forum

    We know that, when a pipe fills a tank in m h, then the part of tank filled in 1 h = 1/m

    Correct Option: B

    We know that, when a pipe fills a tank in m h, then the part of tank filled in 1 h = 1/m
    Here, m = 6
    ∴ Required part of the tank to be filled in 1h = 1/6 part