
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
Two inspectors simultaneously departed from points \( A \) and \( B \) to the scene of an incident at point \( C \). The first inspector arrived at point \( C \) in \( a \) minutes. If the second inspector wishes to reach point \( C \) at the same time as the first, he will need to spend \( c \) minutes less per kilometer than the first inspector, since the distance from \( B \) to \( C \) is \( b \) kilometers greater than the distance from \( A \) to \( C \). How far from point \( A \) did the incident occur?

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