The band's self-titled 1985 debut album reached #17 on the charts and went platinum. It also yielded a #1 hit in "Oh Sheila," a pop funk song that sounded a lot like Prince lite, which was not a bad thing in 1985. RFTW would go on to have seven top 10 hits on the R&B charts and three top 40 hits ("Oh Sheila," "Digital Display" and "Love You Down.")
The group released three more albums through 1991, with each one performing worse than its predecessor. They broke up in 1991, and lead singer Melvin Riley went out on his own (without much success). In 2005, RFTW re-formed and I believe that they still play together as of this writing.
Cool trivia fact: Lead singer Melvin Riley came up with the name Sheila by ... well, he just made it up because it sounded good. Apparently, the song was almost called "Oh Lisa."