
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
From point $A$ to point $B$, which are 24 km apart, a pedestrian and a cyclist started simultaneously. The cyclist took at least two hours to travel from $A$ to $B$, then without stopping, turned back and started moving towards point $A$ at twice his initial speed. 24 minutes after departing from point $B$, the cyclist met the pedestrian. Determine the greatest possible integer value of the pedestrian's speed (in km/h), and for this speed, find the initial speed of the cyclist.

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