
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
During a marathon, a runner jogs at a speed of 6 miles per hour initially but slows down to 4 miles per hour as fatigue sets in. If the runner covers a total distance of 52 miles in 11 hours, how many hours did the runner jog at the initial speed? Express your answer as a common fraction.

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