
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
A passenger train departs at 12 noon from $A$ to $B$ at a constant speed of $60 \, \mathrm{km/h}$. At the same time, a freight train is traveling from $B$ to $A$ on the same track at a speed of $40 \, \mathrm{km/h}$. Both trains reach their destinations simultaneously, and at that moment they are three times as far apart from each other as they were one hour before their meeting point. When did the freight train depart from $B$?

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