
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
After walking $4 / 9$ of the bridge's length, a traveler noticed that a car, which had not yet entered the bridge, was catching up to him. He then turned back and met the car at the start of the bridge. If he had continued his movement, the car would have overtaken him at the end of the bridge. Find the ratio of the speeds of the car and the traveler.

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