
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
Given Ray's car averages 50 miles per gallon of gasoline and Tom's car averages 20 miles per gallon of gasoline, calculate the combined rate of miles per gallon of gasoline for their trip after each drives 100 miles.

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