
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 hikers, $C$ and $D$, leave their camps to hike towards a landmark. They are initially 90 miles apart. $C$ starts from the North and walks toward South, and $D$ starts from the South walking toward North. $C$ walks $5$ miles per hour slower than $D$. After reaching the landmark, $D$ immediately turns around and walks back, eventually meeting $C$ 20 miles from the landmark on his way back. If they meet after both have been walking for the same amount of time, what was the speed of $C$?
A) 7.75 mph
B) 8.75 mph
C) 9.75 mph
D) 10.75 mph

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