
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 decides to walk from her home to the nearby park before heading to school. It takes her 45 minutes to walk uphill 1.5 km to the park, and then another 15 minutes to walk from the park to school covering another 0.5 km. The total distance from home to school via the park remains the same as walking directly. When Mary returns, it takes her 20 minutes to walk the same route from school to home. What is her average speed, in km/hr, for the entire round trip?

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