
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
After having coffee together, Amy, Ben, and Carl start walking from the same point but in different directions. Amy walks north at a rate of 1 mile every 20 minutes, Ben walks east at a rate of 3 miles every 40 minutes, and Carl walks south at 2 miles every 30 minutes. How far apart are Amy and Carl after 2 hours?

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