
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 objects are moving uniformly toward the intersection point along two lines that intersect at a right angle. One object's speed is $3 \text{ m/s}$, and the other's speed is $4 \text{ m/s}$. Initially, the distance between the two objects is $20 \text{ m}$, but after $2 \text{ s}$, the distance is only $10 \text{ m}$. How far is each object initially from the intersection point?

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