
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
A person moves forward at a constant speed along a highway. Every 4 minutes, they encounter an oncoming bus, and every 6 minutes, a bus overtakes them from behind. Assuming the speed of the buses is constant and the distance between two consecutive buses coming from the opposite direction and from behind is both 1200m, find the speed of the person and the speed of the buses, as well as how often a bus departs.

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