
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
Mary takes 45 minutes to walk uphill 1.5 km from her home to school, but it takes her only 5 minutes to return home downhill along the same route. What is her average speed, in km/hr, for the uphill journey, the downhill journey, and the entire round trip?

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