
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
The train was delayed at the departure station for 1 hour 42 minutes. Upon receiving the signal to depart, the conductor followed this schedule: on a section that constitutes 0.9 of the entire route from the departure station to the destination station, the conductor maintained a speed that was $20\%$ above the usual speed, and on the remaining 0.1 of the route, the speed was $25\%$ above the usual speed. As a result, the train arrived at the destination station on time. What is the duration of the journey between stations at the usual speed?

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