
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
To travel from Nanjing to a certain city, one can take either a regular train, covering a distance of 520 kilometers, or a high-speed train, covering a distance of 400 kilometers. It is known that the average speed of the high-speed train is 2.5 times that of the regular train, and taking the high-speed train saves 3 hours compared to the regular train. Find the average speed of the high-speed train.

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