
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
Sophia and Mina are fishing 2 miles from shore when their boat starts taking in water at a rate of 6 gallons per minute. The boat can only hold 60 gallons before it starts to sink. Sophia rows toward the shore at a speed of 3 miles per hour while Mina bails the water out. To avoid sinking before they reach the shore, what minimum rate must Mina bail the water out in gallons per minute?

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