
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
A person cycles a certain distance at a consistent pace. If they had cycled $\textstyle\frac{1}{4}$ mile per hour faster, they would have covered the distance in three-quarters of the original time; if they had cycled $\textstyle\frac{1}{4}$ mile per hour slower, their journey would have taken 3 hours longer. Find the original distance in miles they cycled.
A) 3.5 miles\
B) 4.5 miles\
C) 5.5 miles\
D) 6.5 miles\
E) 7.5 miles

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