A story about an office lady getting attached to a Yankee high school boy she met at an arcade is a Manga/Manhwa/Manhua in (English/Raw) language, ROMANCE series, english chapters have been translated and you can read them here. You are reading chapters on www.mangageko.com fastest updating comic site. The Summary is
Haru, an office worker, spends her days at the arcade to vent her dissatisfaction with her company. There, he beats a yankee high school boy in a game, but for some reason he feels nostalgic. From an acquaintance who just met at the game center to a game companion, and furthermore the relationship between the two...! ? A heart-pounding and heart-warming exchange between an office worker and a high school student begins!