
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
Tara ran 3 miles in half the time it took Alex to run 4.5 miles. If it took Alex 27 minutes to run 4.5 miles, using the same rates, how many minutes would it take Tara to run 6 miles?

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