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Here's my math:
Texas = 268,597 mi²
1 square mile = 27,878,400 ft²
1 football field = 57,600 ft²
1 square mile = 484 football fields (27,878,400/57,600)
Texas = 130,000,948 football fields (484*268,597)
Pacific Garbage Patch = 260,001,896 football fields (130,000,948*2)
If one football field can be cleared every 5 seconds, it will take 1,300,009,480 seconds to clear (260,001,896*5) 1,300,009,480 seconds = 15,046.4 days = 41.2 years to clear the garbage patch if one of these contraptions were to work round the clock.
ETA: This math is assuming we stop continuously refilling the garbage patch.
Something something metric system
You want me to redo it in metric football fields?!
Quite a significant change, when 1 km2 is about 140 (real) football fields