
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 pedestrians left simultaneously from two cities toward each other with constant speeds, and they met after 7.5 hours. Determine each pedestrian's speed, given that if the first pedestrian walked 1.5 times faster and the second walked twice as slow, they would meet after \( 8 \frac{1}{13} \) hours. The distance between the two cities is 105 km.

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