
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
A car, two hours after starting, encounters a delay which holds it for one hour, after which it proceeds at $\frac{2}{3}$ of its initial speed and arrives $4$ hours late. Had the delay occurred $120$ miles farther along the road, the car would have arrived only $3$ hours late. Find the length of the trip in miles.
A) 400 miles
B) 520 miles
C) 560 miles
D) 600 miles
E) 640 miles

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