
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 the weekend, Xiaoming and Xiaohong agreed to go to the park together to exercise by running. If the two of them start from point $A$ at the same time and run at a constant speed towards point $B$ which is $9000m$ away, and Xiaoming's running speed is $1.2$ times that of Xiaohong's, then Xiaoming arrives at point $B$ $5$ minutes earlier than Xiaohong. Based on the above information, answer the following questions:  
$(1)$ Find the running speeds of Xiaoming and Xiaohong;  
$(2)$ If after reaching point $B$ from point $A$, Xiaoming continues to run to point $C$ without resting. It is known that in the first $30$ minutes before he starts running, he burns $10$ calories per minute. After exceeding $30$ minutes, for each additional minute of running, the average calorie consumption increases by $1$ calorie per minute. In the entire exercise process, Xiaoming burns a total of $2300$ calories. How many minutes does Xiaoming spend exercising from point $A$ to point $C$?

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