
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 the batch of goods is transported uniformly at a speed of $v$ km/h (where $100 \leq v \leq 120$) from location A to location B with 17 trucks, and the distance between locations A and B is 600 km, and the distance between two trucks must not be less than $\left(\frac{v}{20}\right)^2$ km, find the shortest time required for all the goods to reach location B.

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