
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 train, after traveling for two hours, meets with an accident which delays it by one hour, after which it continues at $\frac{2}{3}$ of its original speed and arrives $4\tfrac{1}{2}$ hours late. If the accident had occurred $60$ miles further along the track, the train would have arrived only $4$ hours late. Find the total length of the trip in miles.
A) 600
B) 660
C) 720
D) 780
E) 840

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