
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
A train travels from station \( A \) to station \( B \). On a certain section of the route near station \( B \), repair work is being carried out, and on this section, the train is allowed a speed that is only \( \frac{1}{n} \) of its original speed, resulting in the train arriving at station \( B \) \( a \) hours late. The next day, the repair work front moved \( b \) kilometers closer to station \( B \), and under the same conditions, the train was delayed by only \( c \) hours. Find the speed of the train.

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