Conversation so far:
What is Two Hearts?
Four tracks were released as singles, "Everything I Need" (May 1985), "Man with Two Hearts", "Maria" (August), and "Hard Luck Story" (October); only the lead single charted in Australia .
Which single hit the charts?
CANNOTANSWER.
When did the band break up?
Ham left during the band's time touring behind the album.
Is there additional information on the breakup?
By early 1986 the band was defunct and Hay started recording his first solo album, Looking for Jack (January 1987), which had Alsop and Wackerman as session musicians.
Why did Ham leave during the tour?
CANNOTANSWER.

Question: What album were they touring for at the time?
Self-contained rewrite: What album  was Men at Work touring for at the time?