
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 runners, starting from points that are $d$ miles apart, begin running towards each other at the same time. If they meet in $s$ hours, and if they run in the same direction, the faster runner catches up to the slower one after $u$ hours. Find the ratio of the speed of the faster runner to the speed of the slower runner.

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