Pipes and Cistern

  1. Inlet: A pipe connected with a tank or a cistern or a reservoir, that fills it, is known as an inlet. Outlet: A pipe connected with a tank or cistern or reservoir, emptying it, is known as an outlet.
  2. If a pipe can fill a tank in x hours, then:
    part filled in 1 hour = 1 .
    x
  3. If a pipe can empty a tank in y hours, then:
    part emptied in 1 hour = 1 .
    y
  4. If a pipe can fill a tank in x hours and another pipe can empty the full tank in y hours (where y > x), then on opening both the pipes, then
    the net part filled in 1 hour = 1 - 1 .
    x y
  5. If a pipe can fill a tank in x hours and another pipe can empty the full tank in y hours (where x > y), then on opening both the pipes, then
    the net part emptied in 1 hour = 1 - 1 .
    y x



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