This paper is concerned with a coplanar pursuitevasion problem in which a faster evader E with constant speed w > 1 must pass between two pursuers P 1 and P 2 having unit speed, the payoff being the distance of closest approach to either one of the pursuers. This problem is of the two-players zero-sum type. The control variables are the directions of the velocities of P 1, P 2, and E. The path equations are integrated and a closed-form solution is obtained in terms of elliptic functions of the first and second kinds. A closed-loop solution is given graphically in several diagrams for different values of w.