
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
Maria and Joe are jogging towards each other on a long straight path. Joe is running at  $10$  mph and Maria at  $8$  mph. When they are  $3$  miles apart, a fly begins to fly back and forth between them at a constant rate of  $15$  mph, turning around instantaneously whenever it reachers one of the runners. How far, in miles, will the fly have traveled when Joe and Maria pass each other?

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