
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 A, B, and C are moving on a straight path. A and C are moving in the same direction with \(V_A > V_C\). Vehicle B is approaching towards A from the opposite direction. The speed of Vehicle A is 60 mph, Vehicle B is traveling at 70 mph towards A, and Vehicle C is moving at 50 mph in the same direction as A. The initial distance between A and B is 100 ft, and the initial distance between A and C is 300 ft. How much must Vehicle A increase its speed to ensure it passes B before overtaking C?
A) 0 mph
B) 5 mph
C) 10 mph
D) 15 mph

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