
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
A man travels \( m \) feet due north at \( 3 \) minutes per mile, then returns due south to his starting point at \( 1.5 \) miles per minute. Calculate the average rate in miles per hour for the entire trip.

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