
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, one 400 feet long and the other 200 feet long, are traveling on parallel tracks. When they move in opposite directions, they pass each other in 5 seconds, and when they move in the same direction, the faster train passes the other in 15 seconds. Can the reader determine the speeds of both trains? Assume the trains move at constant speeds.

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