
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
Vehicles $X$, $Y$, and $Z$ are on a straight highway. $X$ and $Y$ move towards each other from opposite directions, while $Z$ moves in the same direction as $Y$ but at a slower speed. $X$ starts 300 ft away from $Z$ and 500 ft away from $Y$. Given the speeds of $Y$ = 40 mph and $Z$ = 30 mph, determine the minimum speed $X$ must travel to pass $Z$ before meeting $Y$.
A) 130 mph
B) 135 mph
C) 140 mph
D) 145 mph

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