
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
The distance between location A and location B is 100km, and a car travels at a speed of $v$ km/h.  
(1) Express the time it takes for this car to travel from location A to location B using an algebraic expression;  
(2) If the speed of the car increases by $a$ km/h, how much sooner can it arrive at location B compared to the original speed?  
(3) If $a=10$ km/h and $v=40$ km/h, calculate the values of the algebraic expressions in questions (1) and (2).

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