
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
Ma Xiaohu's home is $1800$ meters away from school. One day, Ma Xiaohu went to school from home. After leaving for $10$ minutes, his father found out that he had forgotten his math textbook and immediately took the textbook to catch up with him. He caught up with Ma Xiaohu $200$ meters away from the school. It is known that the father's speed is twice that of Ma Xiaohu. Find Ma Xiaohu's speed. Let Ma Xiaohu's speed be $x$ meters per minute.

$(1)$ According to the question, fill in the table below:

|          | Distance | Speed | Time   |
|----------|----------|-------|--------|
| Ma Xiaohu| ______   | $x$   | ______ |
| Father   | $1600$   | $2x$  | $\frac{1600}{2x}$ |

$(2)$ Based on the table, formulate equations to solve the problem.

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