
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
Chantal and Marc start hiking from the same point toward a waterfall, with Chantal walking at a speed of $3$ miles per hour. Chantal reduces her speed to $1.5$ miles per hour after completing one-fourth of the total distance to the waterfall. If Chantal meets Marc three-fourths of the way from the start to the waterfall, calculate Marc's average speed, in miles per hour, until they meet.

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