
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
Leo rode 135 miles in 135 minutes. His average speed during the first 45 minutes was 55 mph, and his average speed during the next 45 minutes was 70 mph. Calculate his average speed, in mph, during the last 45 minutes.

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