
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 cyclists, $C$ and $D$, start at the same time to ride from Town X to Town Y, which is 90 miles apart. Cyclist $C$ travels 5 miles per hour slower than Cyclist $D$. Upon reaching Town Y, $D$ immediately turns back and meets $C$ 15 miles from Town Y. Determine the speed of Cyclist $C$.
A) 10 mph
B) 12.5 mph
C) 15 mph
D) 20 mph

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