
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
Ed and Sue traipse at equal and constant speeds. Similarly, their cycling and skating speeds are constant and equal to each other. Ed covers 60 kilometers after traipsing for 1 hour, cycling for 4 hours, and skating for 3 hours, while Sue covers 86 kilometers after skating for 2 hours, cycling for 3 hours, and traipsing for 4 hours. Their traipsing, cycling, and skating rates are all whole numbers of kilometers per hour. Calculate the sum of the squares of Ed's traipsing, cycling, and skating rates.

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