Marni, a long time ago I posted a formula that my engineer husband Chris gave me that explains why you suffer more from a headwind than you benefit from turning around and using it as a tailwind. It was a comforting and amusing way to quantify headwind suffering. I will try to dig it up for you. And 20 miles of headwinds IS a long ride. 
Chris actually came out to Texas last May and did this ride: https://sites.google.com/site/texasstampede1200/. And, he said, out of the three and a half days, about three were headwind days. I believe I remember hearing the phrase "soul-sucking headwinds". But he had a great time and really likes the Texas randos.
Put your feet up and know you had a hard-workin' day.
"My predominant feeling is one of gratitude. I have loved and been loved;I have been given much and I have given something in return...Above all, I have been a sentient being, a thinking animal, on this beautiful planet, and that in itself has been an enormous privilege and an adventure." O. Sacks