
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 river is flowing, and at point B, it flows into a still lake. The swimming champion Zhu Yong swims downstream from A to B, then across the lake to C, taking a total of 1 hour; while from C to B and then back to A, it takes a total of 2 hours. If the lake water was flowing from B to C at the same speed as the river, then Zhu Yong from A to B and then to C would take a total of 50 minutes. In this case, the time it takes for him to swim from C to B and then back to A is     hours.

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