The single seat Quickie, the Q1 as it's known, was (under)powered by an industrial engine of 18hp, later 20hp.
But it could top out at 126mph, or attain up to 105mpg at 75mph. Although, it's climb-rate was just 425fpm on a cold day if properly loaded. Many were too heavy, so several crashed after failing to climb over trees on hot, moderate density altitude days. Ideally, these need 22-25hp to reach 630-770fpm at 480lbs, just to be safe and usable.
There are free plans available on the web, but they leave much to be desired. Like, missing most useful dimensions. Here is a link to some free online-hosted plans: http://www.quickheads.com/index.php?option=com_content&view=category&layout=blog&id=29&Itemid=122
As Jon Matcho mentioned, quickheads is also a great source for high-quality information. I have purchased his excellent template package, and found it includes enough information between those templates, and online hosted plans, to complete the airframe, less engine. Most people who are trying to build one of these little buggers, will benefit greatly from purchasing the full info-pack. Because it includes the templates for hot-wire cutting the foam wing cores, plus CAD files for CNC parts and weldments. It also includes the owners-manual with performance, weight and balance info.
I personally recommend this; for the best info available, and a good deal with everything included, just splurge on the $99 package HERE:
Again, the main issue preventing many people from completing or flying these, is a lack of engine options and installation instructions.
But this fellow seems to have had good luck with a Kholer V-twin:
My personal endeavor with the single-seat Quickie (Q1), is a complete and total reverse-engineering, with significant aerodynamic and structural analysis. I've modeled enough of the known-geometry to derive the unknown dimensions. Many of those that were given in the original plans are egregiously inaccurate! The QPC's issued, and also the (very good templates) I purchased from the above, simply DO NOT account for the incorrect seat-back bulkhead dimensions, which were provided by QAC to builders in the plans, but were never identified as incorrect. Looking at builders photos and videos, I see they made do with it.
I've included an attachment of a VERY POOR quality, freely downloaded plan. Only because it includes many of my design notes, and missing dimensions derived from CAD. It serves as a quick-reference for ideas I've already explored, and should prove useful to future builders.
Airfoils; while those Templates included in the above $99 package will certainly work for any future builders, I went ahead and gathered the original airfoil ordinate data from University of Glasgow and Dr. Richard Eppler's papers to work from. They are also available free from Airfoiltools website. I have re-constructed the design, and created an aerodynamic model in an attempt to determine Burt's stability and control derivatives. He knew what he was doing! E.g. Some items are less than desirable from a control standpoint (inboard ailerons), but they offer a significant improvement in preventing the rear wingtips from stalling. The overall concept and design philosophy is coherent.
My (future) model will end up being re-designed, having found most of the the unknowns, the new version will have a few upgrades in certain areas; a new canard airfoil of which the front 70% is completely re-designed (By true inverse-design methods) for the Q1's specific flight conditions, build methods, and previously designed hardware and controls, limiting the amount of systems engineering effort required. While also improving in certain areas, like construction tolerances, rain trim, bugs, and may offer a moderately-increased gross weight. The other major area is a proper powerplant installation, with several common Aero-engine features. (And some new ones as well).
Find attached, a few more items:
Modified_Q1_Plans1.pdf