
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 only takes her 15 minutes to walk downhill from school to home on the same route. After school, she walks to the library which is 0.5 km away from the school, taking another 15 minutes. What is her average speed, in km/hr, for the entire trip from home to library?

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