
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

Two trains simultaneously depart from points A and B, heading towards each other, and meet at a distance of \( p \) km from point B. After \( t \) hours from the meeting point, the second train, having passed point A, is at a distance of \( q \) km from it, while the first train, having passed point B, is at a distance from the second train that is twice the distance between points A and B. Find the speeds of the trains and the distance between points A and B.

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