
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

On weekdays, a Scientist commutes to work on the circular line of the Moscow metro from "Taganskaya" station to "Kievskaya" station and returns in the evening. 

Upon entering the station, the Scientist boards the first arriving train. It is known that in both directions trains depart at approximately equal intervals. The travel time from "Kievskaya" to "Taganskaya" or vice versa is 17 minutes via the northern route (through "Belorusskaya") and 11 minutes via the southern route (through "Paveletskaya").

Based on the Scientist's long-term observations:

- A train heading counterclockwise arrives at "Kievskaya" on average 1 minute 15 seconds after a train heading clockwise arrives. The same is true for "Taganskaya".
- The average time it takes the Scientist to travel from home to work is 1 minute less than the time it takes to travel from work to home.

Find the expected interval between trains traveling in one direction.

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