
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
A driver departed from point A to point B, which are 100 km apart. When the navigator indicated that 30 minutes of travel remained, the driver reduced speed by 10 km/h for the first time. When the navigator indicated that 20 minutes of travel remained, the driver reduced speed by another 10 km/h. (The navigator determines the remaining time and distance based on the current speed.) Determine the initial speed of the car, given that the car traveled 5 minutes longer at the reduced speed than it would have at the twice-reduced speed.

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