
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 taxi's fuel cost per hour is directly proportional to the cube of its speed. When the speed is 80km/h, the fuel cost is 8 yuan/h, and other costs are 12 yuan/h. The highway distance between two places, A and B, is 160km. Assuming no other factors are considered, to minimize the total cost of the taxi traveling to place B, what should be the taxi's speed in kilometers per hour?

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