Booker T. Washington and W.E. B. Du Bois both fought against discrimination, segregation, and inequality. However, they had different beliefs about how this fight should be fought.
Booker T. Washington believed in the concepts presented in the Atlanta Compromise. Washington believed African Americans should secure jobs and economic equality first. He believed African Americans should receive vocational training and education. After economic equality was secured, then African Americans could fight for political equality. Washington believed it was necessary to secure the economic realm (jobs and finances) before pursuing political goals.
W.E.B Du Bois believed African Americans should have complete equality now. This meant fighting for economic and political rights at the same time. Du Bois believed there was no reason to delay the fight for political equality. He believed African Americans deserved all of their rights immediately.
Washington and Du Bois both fought for African American rights. However, each man had a different philosophy of how to achieve total equality.