Pipes and Cisterns Formulas, Shortcut Tricks

Pipes and Cisterns Shortcut Tricks - Page 2
Pipes and Cisterns Important Questions - Page 3
Pipes and Cisterns Video Tutorials - Page 4

Pipes and Cisterns Formulas

BASIC CONDITION AND FORMULAS FOR PIPES And CISTERNS

  • 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.
  • If a pipe can fill a tank in x hours, then: part fill in 1 hour = \frac{1}{x}
  • If a pipe can empty a tank in y hours, then: part emptied in 1 hour = \frac{1}{y}
  • 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 = (\frac{1}{x}-\frac{1}{y})
  • 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 emptied in 1 hour = (1 - 1 )
  • Time for filling , (Filling pipe is bigger in size.) , F = \frac{e\times f}{e-f}
  • Time for emptying , (emptying pipe is bigger in size.) , E = \frac{f\times e}{f-e}
  • Pipes 'A' & 'B' can fill a tank in f1hrs & f2hrs respectively.Another pipe 'C' can empty the full tank in 'e'hrs.If the three pipes are opened simultaneously then the tank is filled in. F = \left[\frac{L}{\frac{L}{F_{1}}+\frac{L}{F_{2}}-\frac{L}{e}}\right ]
  • Two taps 'A' & 'B' can fill a tank in 't1' & 't2' hrs respectively.Another pipe 'C' can empty the full tank in 'e'hrs.If the tank is full & all the three pipes are opened simultaneously . Then the tank will be emptied in, E = \left [ \frac{L}{\frac{L}{e}-\frac{L}{F_{1}}-\frac{L}{F_{2}}} \right ]
  • Capacity of the tank is , F = \left(\frac{f\times e}{e-f}\right)

 

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