+1 here with an additional thought...coasting on the hill is not the end of the world. In fact, I'm finding that I'm often faster coasting downhill and part of the way up the next hill than when I pedal.
Then, taking smilingcat's advice, being in the easier gear, you won't feel the "spin like crazy" sensation. I like to pedal the first third of a downhill, coast two thirds, and then coast about 1/3 of the new uphill (if I can). It gives me a rest.
Try this is you're comfortable with it. There are different theories...and they either work for you or not.




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