
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
The residents of the village of Razumeyevo, which is 3 km away from the river, like to visit the village of Vkusnoteevo, located 3.25 km downstream on the opposite bank of the river and 1 km away from the riverbank. The river width is 500 meters, and the current speed is 1 km/hour, with the banks being parallel straight lines. The residents of Razumeyevo take the shortest route considering that they always swim across the river perpendicular to the shore with their own speed of 2 km/hour. How much time does this journey take if one can move on land at a speed not exceeding 4 km/hour? Provide the answer in hours.

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