
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
Joann rode her bike at an average speed of 10 miles per hour for 4 hours. She took a total of two breaks, each lasting 30 minutes. If her friend, Fran, rides for 3 hours, including a 30-minute break, at what average speed, in miles per hour, would Fran need to ride her bike to travel the same distance Joann traveled?

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