
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
Margo walks to her friend's house uphill, taking 15 minutes. She returns downhill via the same route, which takes only 10 minutes. If her walking rate uphill is 3 miles per hour and downhill is 6 miles per hour, how far is Margo's friend's house?

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