For what its worth... I with some of the others here... although I used to walk, I NEVER walk now.
Its true that walking/pushing bike is slower than even your lowest gear up a hill...
Its true that you still get to the top
But for me its psychological
There was one hill I had to keep stopping and walking, and each time I'd aim to get further than the last time before I hopped off to walk...
BUT
The first time I hopped off and rested for about 3-4 minutes and then got back on and rode another third, and rested and rode to the top... that first time also signalled the end of me walking up hills... because when I tackled that hill again, I knew I could cycle to the top because I had already and I cycled the whole way without a rest...
While I was building my strength and endurance (lol... while... I still am...) I would sometimes still stop for a rest, but I never do now.
For me, the psychological knowledge that I can ride is HUGE and never walking (except for a flat or broken spoke) works very well for me.



) I would sometimes still stop for a rest, but I never do now.
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So now I figure I'm starting again at step 1. If I don't make it up a hill, I keep walking (I'm good at that, do it all Winter!) and figure I'll be further up the hill before I bail next time.
Personal victory of the day was unclipping fast enough not to fall.
Next try I got maybe halfway up, tried gearing up and standing the rest, but didn't hit a gear that worked for that, so walked. Oh well. I was doing bigger hills in the Fall. Outa shape, I guess. Or maybe it was all that weeding in Mom's garden the day before. Anyways, now it's back to -20 and spin class, upping the resistance and hoping to do better next time on the road. But if I make it through the Cindy walking every darned hill, I'm still keeping my hands on the bike and going on my own power. It counts.
Oh well. I'll keep looking. Meanwhile ... howdya like my new avatar? 