
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
Two construction teams, Team A and Team B, plan to build a 15-kilometer rural road. It is known that Team A builds 0.5 kilometers more road per day than Team B. The number of days Team B alone needs to complete the road construction task is 1.5 times the number of days Team A alone needs to complete the task.  
$(1)$ Find out how many kilometers each team builds per day.  
$(2)$ If Team A's daily road construction cost is 0.5 million yuan and Team B's daily road construction cost is 0.4 million yuan, to ensure that the total cost of road construction by both teams does not exceed 5.2 million yuan, how many days does Team A need to build the road at least?

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