
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 scatterbrained scientist takes the Moscow metro's circular line from the "Taganskaya" station to the "Kievskaya" station, and back in the evening. He boards the first arriving train. Trains run at approximately equal intervals in both directions. The northern route (via "Belorusskaya") takes 17 minutes between "Kievskaya" and "Taganskaya" or vice-versa, and the southern route (via "Paveletskaya") takes 11 minutes.

The scientist has calculated that:

- A counterclockwise train arrives at "Kievskaya" on average 1 minute and 15 seconds after a clockwise train. The same is true for "Taganskaya";
- The average journey from home to work takes 1 minute less than the return journey.

Find the expected interval between trains going in the same direction.

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