
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
A bicycle and a scooter travel from point A to point B, a distance of 50 miles. The bicycle travels $\frac{1}{2}$ mile per hour slower than the scooter. If it takes the bicycle 45 minutes more time than the scooter to make the trip, and let $x$ be the scooter's rate of speed in miles per hour, then the time it takes for the scooter to travel the distance is $\frac{50}{x}$.

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