
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 intersection of perpendicular roads, a highway from Moscow to Kazan intersects with a route from Vladimir to Ryazan. Dima and Tolya started traveling with constant speeds from Moscow to Kazan and from Vladimir to Ryazan, respectively. When Dima crossed the intersection, Tolya had 3500 meters left to reach it. When Tolya crossed the intersection, Dima was 4200 meters away from it. How many meters will be between the boys when Dima has traveled 4200 meters from the moment of Tolya crossing the intersection?

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