# Problem of the Week Problem D Go Forth and Walk

At noon three students, Abby, Ben, and Cassie, are standing so that Abby is $$100$$ m west of Ben and Cassie is $$160$$ m east of Ben. While Ben stays in his initial position, Abby begins walking south at a constant rate of $$20$$ m/min and Cassie begins walking north at a constant rate of $$41$$ m/min.

In how many minutes will the distance between Cassie and Ben be the twice the distance between Abby and Ben?