
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
From a train station to a tourist base, you can either take the highway or a path, where the path is 5 km shorter. Two friends agreed that one would take the highway, maintaining a constant speed of $\mathrm{v}$ km/h, and the other would take the path at a speed of 3 km/h. The second friend arrived at the tourist base 1 hour before the first one. Find the distance from the station to the tourist base via the highway and the speed $v$ of the first friend, given that $v$ is an integer.

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