
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
Given that Xiaoying's home is 1200 meters away from the school, including an uphill and a downhill section, and it took her a total of 16 minutes to get to school, with an average speed of 3 kilometers per hour uphill and 5 kilometers per hour downhill, determine the system of equations representing the time spent uphill and downhill.

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