
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
In training, two speed skaters started simultaneously on a 10000 m distance. The first skater, moving at a speed that exceeds the speed of the second skater by $\frac{1}{3} \mathrm{m/s}$, completed each lap 2 seconds faster than the second skater and overtook him by half a lap after 10 minutes. Find the speeds of these skaters and calculate the time taken by each of them to complete the entire distance.

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