
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
Luke is rollerblading on a straight path when he sees his friend Silvia cycling ahead of him from a distance of $\frac{3}{4}$ miles. After he overtakes her, he can see her in his armband mirror until she is $\frac{3}{4}$ mile behind him. Luke rollerblades at a constant speed of 10 miles per hour whereas Silvia cycles at a constant speed of 6 miles per hour. Determine for how long Luke can see Silvia?
A) 20 minutes
B) 22.5 minutes
C) 25 minutes
D) 28 minutes

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