
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
Given that the distance between locations $A$ and $B$ is 450 kilometers, two cars, $A$ and $B$, depart from locations $A$ and $B$ simultaneously. It is known that the speed of car $A$ is 115 kilometers per hour and the speed of car $B$ is 85 kilometers per hour.  
$(1)$ If the two cars are traveling towards each other, how many hours will it take for them to meet?  
$(2)$ If the two cars are traveling towards each other, how many hours will it take for them to be 50 kilometers apart?

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