
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 motorist traveled from point A to point $\mathrm{D}$, which are 100 km apart. The road from A to D passes through points B and C. At point B, the navigator showed that 30 minutes remained to reach the destination, and the motorist immediately reduced his speed by 10 km/h. At point C, the navigator showed that 20 km remained, and the motorist reduced his speed by another 10 km/h. (The navigator determines the remaining time based on the current speed of travel.) Determine the initial speed of the car, given that the travel time from B to C was 5 minutes longer than the travel time from C to D.

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