
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 mischievous children walked in the opposite direction of an escalator. The boy took 100 seconds to reach the other end, while the girl took 300 seconds. When the escalator is stationary, the boy walks at a speed of 3 meters per second, and the girl walks at a speed of 2 meters per second. Calculate the length of the escalator in meters.

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