Tank Inlet and Outlet Pipes
CAT 2017 Slot 2 · Quantitative Ability · Medium · Pipes and Cisterns
This is a medium Quantitative Ability question from the CAT 2017 Slot 2 paper. It tests Pipes and Cisterns. The full answer key and a step-by-step explanation are below — try it yourself first, then reveal the solution.
A tank has an inlet pipe and an outlet pipe. If the outlet pipe is closed then the inlet pipe fills the empty tank in 8 hours. If the outlet pipe is open then the inlet pipe fills the empty tank in 10 hours. If only the outlet pipe is open then in how many hours the full tank becomes half-full?
- A.
20
- B.
30
- C.
40
- D.
45
A
Explanation
Let capacity of the tank be 40 units (LCM of 8 and 10).
Inlet rate () = units/hr.
Net filling rate with outlet open () = units/hr.
Outlet rate () = unit/hr.
To make a full tank (40 units) half-full, 20 units need to be emptied.
Time required = hours.
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