
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
Car A and Car B start simultaneously from locations $A$ and $B$ respectively, traveling towards each other. The speed of Car A is 40 km/h and the speed of Car B is 50 km/h. The distance between $A$ and $B$ is 900 km. When Car A reaches location $B$, it immediately turns back towards $A$ with a speed of 50 km/h. When Car B reaches location $A$, it immediately turns back towards $B$ with a speed of 40 km/h. When Car A reaches location $A$, it turns back towards $B$ and its speed reverts to 40 km/h. Likewise, when Car B reaches location $B$, it turns back towards $A$ and its speed reverts to 50 km/h. The two cars continue traveling back and forth between $A$ and $B$, constantly switching their speeds between 40 km/h and 50 km/h.

How many kilometers will Car A have traveled in total by the time the two cars meet for the 2016th time?

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