
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 cars simultaneously set off towards each other from cities $A$ and $B$, which are 250 km apart. The cars travel at speeds of 50 km/h and 90 km/h. At what distance from the halfway point between cities $A$ and $B$, denoted as point $C$, will the cars meet? Give the answer in kilometers, rounded to the nearest hundredth if necessary.

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