
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 boys start moving from the same point A on an elliptical track, moving in opposite directions. One travels at 7 ft/s and the other at 10 ft/s. The track has a semi-major axis of 40 ft and a semi-minor axis of 30 ft. If the boys start at the same time and finish when they first meet at point A again, then the number of times they meet, excluding the start and finish, is:
**A)** 12
**B)** 13
**C)** 14
**D)** 15
**E)** None of the above

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