Like all mechanical devices, my bicycle is less than 100% efficient. Therefore, if I traverse a circular route to end up where I started, I must exert more energy than if I was just walking.
Why is it, then that if I cycle my 24 mile circular route in 2 hours, I take less time to recover than if I walk the same route in 8 hours?
OR have I made a faux pas and not realised that walking is actually far less efficient than cycling? If so, where is the wasted energy? Do my feet get hotter than when cycling?
I think you'll find cycling far more efficient than walking.
If you are at the top of a hill you can reach the bottom cycling with hardly any energy expenditure at all.
Imagine a single stroke of the pedals - how much further will that take you than a single step?
Why don't your feet get hot? well they do all of you does - but that energy is disapated over a much longer time period 8 hours as opposed to 2 in your example