
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 distances from point A to point B by the river and by the channel are both equal to 1 km. The speed of the current in the channel is $V$ km/h, while in the river it is $(2V+1)$ km/h. The current in both the river and the channel flows from A to B. If the difference between the travel times of the boat through the channel from B to A and back is added to the travel time of a raft along the river from A to B, the sum is exactly 1 hour. By how many kilometers per hour is the speed of the boat greater than the speed of the current in the channel? The value of $V$ is not given. The answer should be a number.

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