
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 river with a current speed of $5 \text{ km/h}$, there are docks $A$, $B$, and $C$ positioned in the direction of the current, with $B$ located halfway between $A$ and $C$. A raft, which moves with the current towards dock $C$, and a motorboat, which heads towards dock $A$ with a speed of $v \text{ km/h}$ in still water, simultaneously depart from dock $B$. After reaching dock $A$, the motorboat turns around and moves towards dock $C$. Find all values of $v$ for which the motorboat arrives at $C$ later than the raft.

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