
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
There are three stations, A, B, and C, on a section of the railway. The distances between the stations are $AB = 5 \text{ km}$ and $BC = 3 \text{ km}$. According to the train schedule, the train departs from station A at 8:00, arrives at station B at 8:07, stops there for 1 minute, and arrives at station C at 8:12. Assuming the train departs from station A on time, stops at station B for 1 minute, and travels at a constant speed $v \text{ km/h}$, the absolute difference between the actual arrival time and the scheduled arrival time at any station is called the train's running error at that station.

(1) Determine the running error at both stations B and C.
(2) If the sum of the running errors at stations B and C must not exceed 2 minutes, find the range of values for $v$.

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