The advantages are less delamination of the pavement. Tack coat helps the top stick to the binder, and the binder stick to the base. Primer helps the base course asphalt stick to the granular base. According to the Cornell Local Roads Program, tack coat adds ~$0.20 per sq yard, in exchange for three more years of pavement life. Not a bad deal at all!
I'd write the spec so that the contractor must use tack coat if they wait more than a few days between lifts. Also,primer coat helps if you are using thin pavements.
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