
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 $\frac{4}{9}$ of the bridge's length, a pedestrian notices a car catching up from behind, which has not yet entered the bridge. The pedestrian then turns back and meets the car at the start of the bridge. If the pedestrian had continued walking, the car would have caught up with them at the end of the bridge. Find the ratio of the car's speed to the pedestrian's speed.

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