
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
Marguerite drove 150 miles in 3 hours. After taking a 30-minute break, she continued driving for another 2 hours at a speed 10 miles per hour faster than her original speed. If Sam drove for 4.5 hours at the same initial average speed as Marguerite, how many miles did he drive?

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