My trailer is a 24RKSWE 2012 Cougar towed by a 2012 Tundra, Dbl Cab, 2wh drive, 4.6V8, tow rating 8,200Lb with tow package. Below are scale weights observed on 8/24/13, see how they compare with your numbers?
Fully loaded Tundra, full tank of gas, both wife and I and trip load, total scale weight front axel 3,220Lb (3,900 Max), rear axel 2,340Lb (4,000 Max), truck total weight 5,560 (6,700 Max). Now add loaded trailer, truck front axel 3,100, rear axel 3,180, total for truck 6,280Lb, (6,700 Max) leaves 420Lb unused. 720Lb increase with WDH to truck. Trailer attached to truck both trailer axels on scale, trailer weight 5,500Lb (Max 7,200), GCWR 11,780 (Max GCWR 14,000). Trailer stand-alone weight Est. 6,220Lb. Tongue weight capasity 1,060. Check your manual and inside drivers doors for weights. Think the backing up a hill put a bind on your hitch!
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2012 Cougar TT, 24RKSWE, 27'
2012 Tundra 4.6V8, 2wd, dbl cab
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