Mathematics

Pipes and Cisterns Filling

Find the rate at which two inlet pipes fill a tank together.

Combined Rate = 1/A + 1/B

Formula Explanation

Each pipe contributes its own filling rate; rates are added.

Variables Explained

A, B = time taken by each pipe alone to fill the tank.

Solved Example

Pipe A fills in 6 hours, B in 3 hours. Together?
1/6 + 1/3 = 1/2 → 2 hours.

Exam Tip

Use the same time unit for both pipes.