
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
If Nadia walks on flat ground at $5 \mathrm{~km} / \mathrm{h}$, uphill at $4 \mathrm{~km} / \mathrm{h}$, and downhill at $6 \mathrm{~km} / \mathrm{h}$, and it takes her 1 hour and 36 minutes to walk from $N$ to $G$ and 1 hour and 39 minutes to walk from $G$ to $N$, determine the total distance from $N$ to $G$.

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