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Test Track: the red bridge between Graygarden and Oberland, starting right next to tip of the car (on its right) on the Graygarden side, and stopping when I can touch the car on the other side of the bridge.
Except where it says "no 40% armor", all readings are WITH 40% armor (2 sprinter legs, marine arm and captain's hat).
Method Reading 1(s) Reading 2(s) Avg(s) Speed (turnips per second)
Sprint 9.43 9.4 9.415 106.2
Run, no 40% armor 17.4 17.42 17.41 57.4
Run 12.43 12.51 12.47 80.1
Sneak, no 40% 31.2 31.1 31.15 32.1
Sneak 22.14 22.26 22.2 45
Aim 23.43 23.4 23.415 42.7
Both 23.29 23.35 23.32 42.8
Both, Sleek 22.7 22.73 22.715 44
Both, Sleekx2 21.83 21.95 21.89 45.6
Both+NimbleWeapon 15.45 15.35 15.4 64.9
Both+NimbleWeapon+Sleekx2 14.83 14.85 14.84 67.3
What we learned:
1. Yep, all 4 10% speed increasing items stack.
2. The 40% boost also affects sneak speed and aim-walking speed.
3. Sleek adds 5% to sneak speed, and two sleeks stack.
4. Nimble adds 75% to aim-walk speed
5. Nimble + Sleek stack when sneaking and aiming.
6. Answer to my question: Nimble Two-Sleeks Aim-Sneaking is still 19% slower than just walking. Don't bother with Sleek and Nimble. Just walk.
7. Propose a mod to add a perk that allows you to grow 8 legs, equip each leg with sleek leg armor, and subsequently walk (ok, crawl) faster than you walk.
Final results:
Sprint speed: 106 turnips per second
Run speed: 80.1 turnips per second
Sneaking, Aim-walking, with 2 Sleek mods and a Nimble weapon: 67.3 turnips per second.
Just Sneaking speed: 45 turnips per second
Just Aim-walking speed: 42.8 turnips per second (similar but not same as sneak)
W00t.