
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
On street AB, Xiao Nan is walking from A to B, and Xiao Yu is cycling from B to A. Xiao Yu's speed is 3 times that of Xiao Nan. At this time, a bus departs from the starting station A towards B, and buses are dispatched at regular intervals. After a while, Xiao Nan notices that a bus catches up with him every 10 minutes, and Xiao Yu also finds that he encounters a bus every 5 minutes. Find the interval between the dispatch of two buses.

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