
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 starts its journey, then stops after 1 hour due to an incident and remains halted for half an hour. After that, it continues at $\frac{3}{4}$ of its original speed, resulting in a delay of $3 \frac{1}{2}$ hours upon reaching its destination. If the incident had occurred 90 miles further ahead, the train would have arrived only 3 hours late. Express the total distance of the whole journey in terms of its speed.

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