
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
Given Maya takes 45 minutes to ride her bike to a beach 15 miles away, and Naomi takes 15 minutes to cover half the distance on a bus, stops for 15 minutes, and then takes another 15 minutes to cover the remaining distance. Find the difference, in miles per hour, between Naomi's and Maya's average speeds.

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