
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
An express train overtakes a freight train. The speed of the express train is as many times greater than the speed of the freight train as the time spent passing by each other when traveling in the same direction is greater than the time they would spend traveling past each other in opposite directions. What is this ratio?

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