
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
In April, when the spring is warm and flowers are blooming, it is a good time for hiking and exploring nature. A certain junior high school organized a spring outing activity called "Hiking in Spring, Walking into Nature" for the third grade students. Class A and Class B both set off from the school along the same route to a hiking endpoint 7.5 kilometers away from the school. It is known that the walking speed of Class A is 1.5 times that of Class B. (The walking process is a uniform motion)<br/>$(1)$ If Class B walks 750 meters ahead of Class A before Class A starts from the school, and the two classes meet half an hour later, what are the speeds of the two classes in kilometers per hour?<br/>$(2)$ If Class B walks at the planned speed for the first hour after departure, then increases the speed to match Class A's speed, and arrives at the hiking endpoint 10 minutes earlier than planned, how many hours did Class B take to reach the endpoint?

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