
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
Person A and person B are standing by the railway waiting for a train. It is known that the train is moving at a constant speed. At a certain moment, when the front end of the train passes by them, person A starts to walk in the same direction as the train at a constant speed, while person B walks in the opposite direction at the same constant speed. When the rear end of the train passes by either of them, the person stops moving. In the end, person A walks 45 meters, and person B walks 30 meters. Find the total length of the train.

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