
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 mutually perpendicular roads are being traversed towards an intersection by a cyclist and a motorcyclist. At a certain moment, the cyclist is 8 km away from the intersection, and the motorcyclist is 15 km away from the intersection. After how many minutes will the distance between them be 5 km if the speed of the cyclist is \(\frac{1}{3}\) km/min and the speed of the motorcyclist is 1 km/min?

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