
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
Xiaogang rides a bicycle along the highway at a speed of $a$ km/min. A bus comes from the opposite direction every $b$ min, and a bus overtakes him from behind every $c$ min ($c > b$). If the buses have the same speed and the interval between departures at the start and end points is the same, find the speed of the buses and the interval between their departures.

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