
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
Xiao Li commutes from point $A$ to a point $B$ that is $4.5$ kilometers away. He leaves for work at the same time every day. On the first day, he walked to work and arrived $5$ minutes late. On the second day, he rode his bike to work and arrived $10$ minutes early. It is known that his biking speed is $1.5$ times his walking speed.<br/>$(1)$ Find Xiao Li's walking speed and biking speed;<br/>$(2)$ One day, Xiao Li's bike broke down after he had traveled $1.5$ kilometers. He immediately ran to work (ignoring the time delay) in order to arrive at least $5$ minutes early. What is the minimum speed, in kilometers per hour, at which he must run?

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