
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 car travels 45 kph for 30 kilometers, 55 kph for 35 kilometers, 70 kph for 50 minutes, and 55 kph for 20 minutes. Additionally, the cost of travel is €0.20 per kilometer for speeds up to 50 kph and €0.25 per kilometer for speeds over 50 kph. Calculate the average speed and total cost of the car's trip.

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