
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 friends, $P$ and $Q$, begin walking from Town X to Town Y, which is 90 miles away. $P$ walks 3 miles an hour slower than $Q$. After reaching Town Y, $Q$ immediately turns back and meets $P$ 15 miles away from Town Y. Find the speed of $P$.
A) 6 mph
B) 7.5 mph
C) 9 mph
D) 10.5 mph
E) 12 mph

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