Does water flow rate affect pressure buildup and overflow time?

[AryaUnderfoot]

Water is poured into two containers separately at two different rate. Will the rate of increase of water flow affects the pressure building up? Can the pressure affects the time taken for the water to overflow the container?
( One of the container is designed to avoid overflow, hence the rate of increase of water level decrease with every increasing height?)

 

[berkeman]

Water is poured into two containers separately at two different rate. Will the rate of increase of water flow affects the pressure building up? Can the pressure affects the time taken for the water to overflow the container?
( One of the container is designed to avoid overflow, hence the rate of increase of water level decrease with every increasing height?)

Welcome to the PF.

Can you post a drawing of the setup? It's a bit difficult to understand your question (at least it is hard for me).

 

[AryaUnderfoot]

If the rate of water flows in is high, the air pressure exerts on the water surface will be higher, then the water will overflow even before it reaches 14m. Is that right?