
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
A car A is initially 100 meters west of car B. Both cars start moving east at the same time. Car A moves at a constant speed of 50 meters per second, while car B accelerates at a rate of 20 meters per second². After how many seconds will the two cars be the closest to each other? What is the distance between the two cars at that time?

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