
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
During a storm, Alex and Jamie are fishing 2 miles from the shore when their boat begins to leak. Water enters the boat at a rate of 15 gallons per minute due to the leak. Additionally, because of the heavy rain, an extra 5 gallons of water per minute accumulates in the boat. The boat will sink if it takes in more than 60 gallons of water. Alex rows towards the shore at a constant rate of 3 miles per hour while Jamie tries to bail out water. Determine the minimum rate at which Jamie must bail water, in gallons per minute, to ensure they reach the shore without the boat sinking.

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