
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
Adam and Grace start their bicycle trips from the same point but in different directions. Adam cycles northeast at 10mph while Grace cycles directly south at 12mph. After how many hours will they be 100 miles apart?

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