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you would have to inspect it more but you can clearly see the hose is bad. it might be leaking and running down the thermostat housing
My truck sometimes develops a little seepage near the end of that radiator hose and it leaves a small puddle on the intake. I have found that if I already have a good hose (yours looks a little questionable), all I need to do is tighten the clamp down about 1/2 turn and it solves the leak.It seems that most replacement hoses for these older trucks have a fairly wide tolerance, and the old style worm clamps don't always pull the "loose" hoses down evenly. If you have ever replaced a radiator hose on a newer Japanese car, or one of the newer Fords you will find that you need a liberal application of WD-40 just to get the hose to even slip on the fitting. The hose fits so tight that it seems like it might not even go on the fitting. Then they use a newer style clamp that gives better clamping around the entire circumference of the fitting.Bruce