
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
At the foot of the mountain, there is a pond where spring water flows continuously into the pond at a fixed flow rate (i.e., the amount of water flowing into the pond in one unit of time is the same). Currently, the pond has a certain depth of water. If water is pumped out using one pump of type $A$, the pond can be emptied in exactly $1$ hour. If two pumps of type $A$ are used, the pond can be emptied in $20$ minutes. If three pumps of type $A$ are used simultaneously, it will take ____ minutes to empty the pond completely.

Present the answer in LaTex format: \boxed{Your answer}
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