
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
Two cyclists, $A$ and $B$, simultaneously start from two different locations, $M$ and $N$, respectively, heading towards $P$. The distance $NP$ is $30$ km longer than the distance $MP$. Each cyclist completes their journey in 10 hours.

What is the distance $MP$ if cyclist $B$ takes 20 minutes less than cyclist $A$ for every $42$ km?

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