
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
The Biarritz - Bilbao highway is approximately 150 km long. In my "Mercedes," I travel it 25 minutes faster than my wife does in her car. One time, we left at the same time: she from Bilbao, and I from Biarritz. When we met, I noticed that the difference in the distances we had left to travel was equal to the difference in the time (in minutes) that each of us would need to complete the remaining journey, assuming we both continued at our usual speeds.

At what distance from Bilbao did we meet? How long did we travel until our meeting?

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