
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
At the same time, a cyclist travels from point $A$ to point $B$ at a speed of $15 \mathrm{km/h}$, and a tourist travels from point $B$ to point $C$ at a speed of $5 \mathrm{km/h}$. After 1 hour and 24 minutes from the start of their journey, they are at the shortest distance from each other. Find the distance between the points if all three points are equidistant from each other and connected by straight roads. (8 points)

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