
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
Vehicle $A$, $B$, and $C$ are on a straight track. $A$ and $B$ are moving in the same direction with $A$ initially at a higher speed, while $C$ is approaching from the opposite direction. The initial velocities are $V_A=70$ mph, $V_B=50$ mph, and $V_C=65$ mph. The distance between $A$ and $B$ is 40 ft, and between $A$ and $C$ is 250 ft. If there is a steady deceleration of 5 mph in $A$’s speed due to bad road conditions, how much must $A$ increase his speed to ensure he overtakes $B$ before colliding with $C$?
A) 7 mph
B) 15 mph
C) 10 mph
D) 8 mph

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