
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 started simultaneously from two cities 105 km apart heading towards each other at constant speeds and met after 7.5 hours. Determine each pedestrian's speed, knowing that if the first walked 1.5 times faster and the second walked half as fast, they would meet after \( 8 \frac{1}{13} \) hours.  

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