
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 around a circular track that is 200 meters long, with speeds of $5 \ \mathrm{m/s}$ and $3 \ \mathrm{m/s}$ respectively. After 40 seconds, the distance between them is exactly the same as it was 40 seconds ago (the distance is measured along the shortest arc). What could be this distance?

Choose an answer from the given set: $40, 50, 60, 70, 80, 90$.

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