
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 town $A$ to town $C$. When the passenger train passes through $B$, a freight train departs from $B$ towards $A$. Upon the freight train's arrival at $A$, an express train departs from $A$ towards $C$, and this express train catches up with the previously mentioned passenger train at station $C$. A student, located halfway between $A$ and $B$, observes that 15 minutes after the passenger train passes, the freight train passes, and 11 minutes later, the express train passes. The distance from $A$ to $B$ is $10 \mathrm{~km}$. The question is: how many kilometers is the town $C$ from town $B$? (Assume that the trains travel at a constant speed).

Additionally, what are the speed ranges for the express, passenger, and freight trains per hour if the express train's maximum speed is limited to $150 \mathrm{~km/h}$ and the speed of the freight train cannot exceed that of the passenger train?

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