
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 people move in the same direction. At the initial moment, the distance between them is $S_{0}=100 \text{ m}$. The speed of the first, pursuing, pedestrian is $v_{1}=8 \text{ m/s}$. Determine the speed $v_{2}$ of the second pedestrian if it is known that after $t=5$ minutes, the distance between them is $S=50 \text{ m}$.

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