
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
$P$ and $Q$ start jogging on a circular track from diametrically opposite points and at the same time, but in opposite directions. They first meet after $P$ has traveled $150$ yards, and they meet a second time $90$ yards before $P$ completes one lap of the track. Find the circumference of the track.
A) 600 yards
B) 720 yards
C) 800 yards
D) 840 yards

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