
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
Ship A travels north at a speed of $4\text{km/h}$ from point B of the island, while Ship B travels in the direction of north-east $60^{\circ}$ at a speed of $6\text{km/h}$ from point A, the northern point of the island. The distance between points A and B is $10\text{km}$. Calculate the time at which the two ships are at their closest distance.

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