When Langston Hughes says "Solutions to the Problem, of course wait." he means that the white people recognize that they are doing the wrong things to black people and mistreating them, but they are not devoted enough to the problem to fix it. This is his purpose of the poem: they know they're doing something wrong, but they're not willing to find a solution.
Above is a picture of
Langston Hugehs, the
author of this poem.
Source: http://www.poets.org/poets/poets.cfm?prmID=84