
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 a foggy day in city $M$, visibility is limited to 100 meters. Two people, Alex and Ben, start walking in opposite directions from point $A$ on a straight road at the same time. Alex walks at a speed of 4 meters per second, and Ben walks at a speed of 6 meters per second. After 1 minute, Alex reaches point $B$ and Ben reaches point $C$. Then, both Alex and Ben turn around and start walking back towards point $A$. How much time will pass before they can see each other? At that moment, how far are Alex and Ben from point $A$?

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