Um, I dont mean to be rude, but thats almost a nonsense question. I once read a quote (dont remember who) that said "Time is just the universe's way of keeping everything from happening at once". Keep in mind that our planet is <b>OLD</b> 4.5 billion years or so.
Now <i>timing</i> is a integral part of our biology, everything works around the speed of chemical reactions or how fast signalling chemicals (hormones, neutotransmitters, etc) move about, and even how to hold us up in a gravity field (which does bend time by a microscopic amount). But nothing like "near the event horizon of a black hole time is almost stopped to an outside observer" or something along those lines.
Now duration and evolution are linked due to the rate that the environmental or stressors mutation rates occur "i.e. on average 1 mutation per 20 mins"
Evolution has progressed very rapidly on Earth in the last third of its existance mainly because once you have the basic parts worked out (nucleated cells, mitochondria, multi-cellular organisms, bones, muscles, brains, nerves, blood, etc) its mainly a matter of shuffling the parts around and increasing or decreasing the size/rate of development of those parts.
Getting the basic parts worked out took a Loooooooong time.
By the way (and I'm not trying to be funny), do you realize that as you're mutating as you read this. A mutation is just a unplanned change in DNA, as you sit there there is damage to your DNA going on; free radicals, ozone, cosmic rays, cellular metabolic by-products, division transcription errors, etc, are all doing bad things to your DNA.
Usually 99% of it is repaired immediately but there's always a little bit left, depending if that error is in your germ plasm or not means whether or not its passed on to your offspring or no. If it helps your offspring survive (in their particular environment) its a benificial mutation and will have a tend to be favorably passed on. If it harms your offspring its a deleterious (bad for you) mutation and your offspring will have a lesser chance of surviving to reproduce. The bad mutations overwhelming outnumber the good ones, but the good ones do happen.
BAM! evolution in action before our very eyes.
BTW, its been documented that DNA mutation rates go WAY up when an organism is stressed. [my own conclusions here] it could be a mechanism for species survival in changing environments, for example; a swamp dries up, a bunch of variants of a organism arise due to the increased mutation rate, one of the mutants is better able to survive in a dried up swamp and so has a better chance to pass on its genes to its offspring.
Its offspring still arent perfectly adapted to a dried up swamp so the mutation rate is still high, more variants are produced in the population, most are bad, some are good. Run this scenario through N number of generations and pretty soon you get a frog that once lived in a swamp and now lives in grasslands, or a desert or a forest, you should get the idea by now.
Damn, wrote a dang novel