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

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