
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
Han drove 2 hours longer than Ian at an average speed of 10 miles per hour faster than Ian, and Jan drove 3 hours longer than Ian at an average speed of 15 miles per hour faster than Ian. If Han drove 120 miles more than Ian, determine the difference in the number of miles driven by Jan and Ian.

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