
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
Julian trains on a 3 km track. He covers the first kilometer walking, the second running, and the third by bicycle. If he had covered the entire track by bicycle, it would have taken 10 minutes less. Julian runs at twice the speed he walks, and cycles at three times the speed he walks. How long does Julian take to run 1 km?

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