
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 from the same place cycling towards a town located $90$ miles away. Cyclist $D$ cycles $5$ miles per hour faster than $C$. Once $D$ reaches the town, he immediately turns back and meets $C$ $18$ miles away from the town. Determine the speed of cyclist $C$.
A) $8\text{ mph}$
B) $10\text{ mph}$
C) $12\text{ mph}$
D) $15\text{ mph}$

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