
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
A Hare and a Wolf are running in the same direction along a circular track with a length of 200 meters, at speeds of \( 5 \, \mathrm{m/s} \) and \( 3 \, \mathrm{m/s} \), respectively. It turns out that the distance between them is exactly the same as it was 40 seconds ago (distance is measured along the shortest of the two arcs). What could this distance be?

Choose one answer from the following options: \( 40, 50, 60, 70, 80, 90 \) meters.

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