Pipes and Cisterns Level 2 Practice Quiz: Leaks, Outlets and Alternate Pipes
Pipes and Cisterns Level 2 is a medium-difficulty practice quiz on tank-filling problems that go beyond basic filling times. It covers leaks that slow filling, pipes opened alternately, inlets working against outlets and pipes closed partway. Aptitude360 includes a worked solution for every question.
What this Pipes and Cisterns Level 2 set tests
- Finding how long a leak alone takes to empty a tank from the delayed filling time
- Pipes opened alternately in equal turns, including a filling pipe alternating with an emptying pipe
- Inlets and outlets opened together on an empty or partly filled tank
- A pipe closed after some time and the time left to finish filling
- Efficiency ratios and pipes that are a stated number of times faster than others
- Tank capacity in litres from given flow rates
Key pipes and cisterns formulas for Level 2
- Two inlets together: \( \dfrac{1}{T}=\dfrac{1}{a}+\dfrac{1}{b} \)
- Inlet a, outlet b, \( a\lt b \): \( T=\dfrac{ab}{b-a} \)
- Leak time when filling rises from a to b: \( \dfrac{ab}{b-a} \)
- Time and efficiency: \( \dfrac{T_{A}}{T_{B}}=\dfrac{E_{B}}{E_{A}} \)
- Work done: \( W=R\times T \)
Preparation tips for medium pipes and cisterns problems
- Take the tank capacity as the LCM of the given times so that each pipe's rate becomes a whole number of units.
- Treat an outlet or a leak as work taken away and subtract its rate from the combined inlet rate.
- In alternate-pipe problems, check whether the tank fills partway through a cycle before counting full cycles.
- When a tank starts partly full, work only with the portion still to be filled or emptied.
Who this practice quiz is for
It suits learners who have finished basic pipes and cisterns problems and want middle-stage practice before moving to hard, multi-step ones.