From the NBER:
Gains and Gaps: Changing Inequality in U.S. College Entry and Completion, by Martha J. Bailey, Susan M. Dynarski, NBER Working Paper No. 17633, December 2011: [open link] We describe changes over time in inequality in postsecondary education using nearly seventy years of data... We find growing gaps between children from high- and low-income families in college entry, persistence, and graduation. Rates of college completion increased by only four percentage points for low-income cohorts born around 1980 relative to cohorts born in the early 1960s, but by 18 percentage points for corresponding cohorts who grew up in high-income families. Among men, inequality in educational attainment has increased slightly since the early 1980s. But among women, inequality in educational attainment has risen sharply, driven by increases in the education of the daughters of high-income parents. Sex differences in educational attainment, which were small or nonexistent thirty years ago, are now substantial, with women outpacing men in every demographic group. The female advantage in educational attainment is largest in the top quartile of the income distribution. These sex differences present a formidable challenge to standard explanations for rising inequality in educational attainment.
There's a more extended summary of the results in the conclusion to the paper.