
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
David drives from his home to the airport to catch a flight. He drives 40 miles in the first hour, but realizes that he will be 45 minutes late if he continues at this speed. He increases his speed by 20 miles per hour for the rest of the way to the airport and arrives 15 minutes early. Determine the distance from his home to the airport.

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