
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, A and B, depart from locations A and B simultaneously, traveling at a constant speed towards each other. Car A departs from location A 1/10 hour later. Car C departs from location A at a speed of 60 kilometers per hour towards location B after 1/5 hour and catches up with car A on the way.<br/>$(1)$ What is the speed of car A?<br/>$(2)$ Given that the speed of car A is 1/5 less than the speed of car B, after car C catches up with car A and continues to move forward, when car C is 2 kilometers away from car B, car A and car B are 4 kilometers apart. What is the distance between locations A and B?

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