
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 set off simultaneously towards each other from cities \(A\) and \(B\), which are 240 km apart, with speeds of 50 km/h and 90 km/h respectively. At what distance from the midpoint \(C\) (located halfway between \(A\) and \(B\)) will the cars meet? Give your answer in kilometers, rounding to the nearest hundredth if necessary.

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