
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
Three cyclists leave the city. The speed of the first is 12 km/h, the second 16 km/h, and the third 24 km/h. It is known that the first cyclist rode only when the second and third were resting (stationary), and at no point in time were two cyclists riding simultaneously. It is also known that in 3 hours, all three cyclists covered the same distance. Find this distance.

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