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Pipes and Cisterns

Pipes and Cisterns: Formulas, Shortcuts and Solved Examples

Pipes and cisterns questions turn tanks into fractions per hour. This lesson gives each rule, the…
If an inlet fills a tank in x hours and an outlet empties it in y hours (with x greater than y), opening both together gives what net rate of emptying per hour?
If an inlet fills a tank in x hours and an outlet empties it in y hours (with y greater than x), opening both together gives what net rate of filling per hour?
If a pipe can fill a tank in x hours, the part of the tank it fills in 1 hour is what?
A pipe connected to a tank that empties it is called what?
A pipe connected to a tank that fills it is called what?
A pipe can fill a tank in 27 hours. What fraction of the tank is filled in 5 hours?
A pipe can fill a tank in 13 hours. What fraction of the tank is filled in 6 hours?
A pipe can fill a tank in 30 hours. What fraction of the tank is filled in 15 hours?
A pipe can fill a tank in 8 hours. What fraction of the tank is filled in 6 hours?
A pipe can fill a tank in 19 hours. What fraction of the tank is filled in 15 hours?
A pipe can fill a tank in 9 hours. What fraction of the tank is filled in 3 hours?
A pipe can fill a tank in 17 hours. What fraction of the tank is filled in 10 hours?
A pipe can fill a tank in 25 hours. What fraction of the tank is filled in 17 hours?
A pipe can fill a tank in 12 hours. What fraction of the tank is filled in 5 hours?
A pipe can fill a tank in 21 hours. What fraction of the tank is filled in 13 hours?
A pipe can fill a tank in 15 hours. What fraction of the tank is filled in 3 hours?
A pipe can fill a tank in 13 hours. What fraction of the tank is filled in 11 hours?
Pipe A can fill a tank in 10 hours. Pipe A and pipe B together can fill it in 5 hours. How long would pipe B alone take to fill the tank?
Pipe A can fill a tank in 6 hours. Pipe A and pipe B together can fill it in 2 hours. How long would pipe B alone take to fill the tank?
Pipe A can fill a tank in 15 hours. Pipe A and pipe B together can fill it in 10 hours. How long would pipe B alone take to fill the tank?
Pipe A can fill a tank in 18 hours. Pipe A and pipe B together can fill it in 9 hours. How long would pipe B alone take to fill the tank?
Pipe A can fill a tank in 20 hours. Pipe A and pipe B together can fill it in 4 hours. How long would pipe B alone take to fill the tank?
Pipe A can fill a tank in 14 hours. Pipe A and pipe B together can fill it in 13 hours. How long would pipe B alone take to fill the tank?
Pipe A can fill a tank in 24 hours. Pipe A and pipe B together can fill it in 15 hours. How long would pipe B alone take to fill the tank?

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