Pipe and Cistern Formulas 

Pipe and Cistern Formulas

1. Work Done by Pipes Formula

Work = Rate of Work × Time

The total work done is the product of the rate and time.

2. Time Taken Formula

Time = Work Rate of Work

The time is work divided by the rate of work.

3. Combined Work Formula

Combined Rate = Rate of A + Rate of B

The combined rate is the sum of the individual rates.

4. Time to Fill or Empty Formula

Time = Capacity of the Cistern Combined Rate

The time is capacity divided by the combined rate.

5. Time to Empty with Two Pipes Formula

Time to Empty = Capacity of Cistern Rate of Emptying Pipe A + Rate of Emptying Pipe B

The time to empty is capacity divided by the sum of emptying rates.

6. Inverse Proportionality Formula

Work 1 Time

Work is inversely proportional to time when the rate is constant.

7. Two Pipes Working Together Formula

Time = Capacity of Cistern Rate of Pipe A Rate of Pipe B

The time depends on the difference between filling and emptying rates.

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