
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
In a race over a distance $d$ at uniform speed, racer $A$ can beat racer $B$ by $30$ yards, racer $B$ can beat racer $C$ by $15$ yards, and racer $A$ can beat racer $C$ by $40$ yards. Determine the distance $d$ in yards.
A) 75 yards
B) 90 yards
C) 100 yards
D) 110 yards
E) 120 yards

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