
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
I was walking with my mother-in-law. We were walking slowly at a speed of 3 km/h along Saint Catherine Street in Bordeaux, which, as everyone (or maybe not everyone) knows, is straight. Suddenly, I remembered that I needed to mail a letter as soon as possible in a mailbox located a bit further down the street. Leaving my mother-in-law, who continued walking peacefully, I hurried forward, mailed the letter, and then walked back towards my mother-in-law at a speed of 5 km/h. I clearly remember that I left my mother-in-law alone for only 3 minutes.

At what distance from the mailbox were we when we parted ways?

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