
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 a railway line, a passenger train departs from location \(A\) heading towards location \(C\). When the train passes through \(B\), a freight train departs \(B\) heading towards \(A\). Upon the freight train's arrival at \(A\), an express train departs from \(A\) heading towards \(C\), and this express train catches up with the previously mentioned passenger train exactly at station \(C\). A student observes that, halfway between \(A\) and \(B\), the freight train passed through \(15\) minutes after the passenger train and the express train passed \(11\) minutes after the freight train. It is also given that \(B\) is \(10 \text{ km}\) from \(A\). The question is, how many kilometers is \(C\) from \(B\)? (Assume the trains travel at a constant speed.)

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