
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
Eric is preparing for a triathlon with a revised goal to finish in not more than $1.75$ hours. He averages $1.5$ miles per hour during a $\frac{1}{3}$-mile swim, $8$ miles per hour in a $2.5$-mile run. To meet his goal, what must his average speed in miles per hour be for the $12$-mile bicycle ride?
A) $\frac{144}{175}$ 
B) $\frac{1728}{144}$ 
C) $\frac{1728}{175}$ 
D) $\frac{144}{17}$

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