
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
Two pedestrians are walking towards each other along a straight road at a speed of 5 km/h. The initial distance between them is 10 kilometers. A fly, which flies at a speed of $14 \text{ km/h}$, takes off from the first pedestrian, flies straight to the second pedestrian, lands on him, and then immediately flies back to the first pedestrian, and so on. What distance will the fly have flown by the time the pedestrians meet?

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