
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
The truck can be rented under the following conditions. 
- Base fee: 0.50 Forints per km.
- Speed surcharge: For speeds over 30 km/h, an additional 0.03 Forints per km is charged for each km/h over 30 km/h.
- Time surcharge: For every minute over 10 hours, an additional 1 Forint is charged.

For a 500 km trip, what should the average speed be to minimize the transportation cost?

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