
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
Xiaoqing walks from home at a constant speed towards school, while her brother Xiaoqiang rides a motorcycle from school at a constant speed towards home. They meet on the way, and Xiaoqiang immediately takes Xiaoqing to school before heading back home. In this way, the time he spends on the road is 2.5 times the time it would take him to go directly from school to home. Find the ratio of Xiaoqiang's motorcycle speed to Xiaoqing's walking speed.

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