
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
It takes Mary 45 minutes to walk uphill 1.5 km from her home to school, but it takes her only 15 minutes to walk downhill from school to home along the same route. How does a rainy day, which slows her speed to 3/4 of her usual speed for both uphill and downhill, affect her average speed, in km/hr, for the round trip?

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