
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 highways intersect at a right angle. A car on one of the highways is traveling towards the intersection at a speed of $v_{1}=60 \mathrm{~km} / \mathrm{h}$, and a car on the other highway is traveling towards the intersection at a speed of $v_{2}=40 \mathrm{~km} / \mathrm{h}$. When Car 1 is $200 \mathrm{~m}$ away from the intersection, Car 2 is $500 \mathrm{~m}$ away. When will the two cars be closest to each other, and what is the minimum distance between them? Where will Car 1 and Car 2 be at that time?

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