
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
$K$ takes $40$ minutes less time than $M$ to travel a distance of $60$ miles. $K$ travels $\frac{1}{2}$ mile per hour faster than $M$. If $x$ is $K$'s rate of speed in miles per hour, then $K$'s time for the distance is:
A) \(\dfrac{30}{x + \frac{1}{2}}\)  
B) \(\dfrac{60}{x - \frac{1}{2}}\)  
C) \(\frac{60}{x}\)  
D) \(\frac{60}{x + \frac{1}{2}}\)  
E) \(\frac{x}{60}\)

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