
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 now has to walk 2 km uphill from her home to school, which takes her 50 minutes. The walk back from school to her home, now 3 km due to a different path with a gentler gradient, takes her 30 minutes. What is her average speed, in km/hr, for the round trip?

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