
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
Xiaoyue and Xiaofang drive from People's Square to Jingmian Tan separately. They both set off at the same time. Xiaoyue takes route $A$, which is $20$ km in total, while Xiaofang takes route $B$, which is $18$ km in total. Xiaofang's average speed is $1.2$ times that of Xiaoyue. Xiaofang arrives $\frac{1}{10}$ hour earlier than Xiaoyue. Find Xiaoyue's average speed.

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