This paper focuses on interdependent multidimensional poverty of time and income with its incidence and intensity. We introduce a Two Dimensional Minimum Poverty Gap (2DGAP) measure, which quantifies the shortest path to escape multidimensional poverty. The 2DGAP disentangles single poverty attribute gaps while assuring their interdependence; an important issue for targeted antipoverty policies. Besides income, we include genuine personal leisure time with social participation reflecting Sen’s capability approach. The interdependence of multidimensional poverty is estimated by a CES-type well-being function with individual German data. The empirical results of Germany’s “working poor” emphasize the importance of time with social participation aspects in the multidimensional poverty discussion.