
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
The Yi Rong ferry travels at a speed of 40 kilometers per hour. On odd-numbered days, it sails downstream from point A to point B, and on even-numbered days, it sails upstream from point B to point A (the water speed is 24 kilometers per hour). On one odd-numbered day, the ferry lost power at the midpoint to point C and drifted to point B. The captain recorded the travel time as being $\frac{43}{18}$ times the usual time for an odd-numbered day. On another even-numbered day, the ferry also lost power at the midpoint to point C. The repair crew worked for 1 hour while drifting, and then the ferry continued to point A at double its normal speed. The captain found that the travel time was exactly the same as the usual time for an even-numbered day. What is the distance between point A and point B in kilometers?

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