
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
On a highway, there are two villages A and B that are 18 km apart. A car departs from village A at a speed of 54 km/h, and another car departs from village B at a speed of 36 km/h.  
(1) If the cars drive towards each other at the same time, after how many hours will they be 45 km apart?  
(2) If the cars drive in the same direction at the same time, after how many hours will they be 45 km apart?

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