
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
Emir Ben Sidi Mohammed travels from his palace to the airport at a constant speed on a splendid highway through the desert. If his driver increased the average speed of the car by $20 \mathrm{km/h}$, the emir would save 2 minutes; if the driver drove 20 km/h slower, the emir would lose 3 minutes.

How far is the emir's palace from the airport?

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