
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
Ray's car averages 30 miles per gallon of gasoline, Tom's car averages 20 miles per gallon, and Lucy's car averages 15 miles per gallon. If Ray, Tom, and Lucy each drive the same number of miles, calculate the combined rate of miles per gallon of gasoline for the three cars.

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