
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
The speed of a bullet train (动车) is twice that of a regular train (普快). If the speed of the bullet train increases by 25%, it reaches the speed of a high-speed train (高铁). The average speed of the high-speed train and the regular train is 15 km/h faster than an express train (特快). The average speed of the bullet train and the regular train is 10 km/h slower than the express train. Find the speeds of the high-speed and regular trains in km/h.

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