There is no way I could wear a suit riding fast or slow in Korean summer and not come out looking like a wet dog. The longest commute I can get away with is 3km before I sweat too much. I'd see if I could take the pants and jacket in on Monday and then just fold up the shirt and tie etc in a bag. I usually put my work clothes carefully folded in my backpack and wear my cycling clothes to commute in for anything over 7km.