Billy and Ken, the school’s cross-country stars, were each running at cross-country practice. Billy was going to run $\frac { 3 } { 4 }$ of the training course, and Ken was going to run $\frac { 1 } { 2 }$ of the course. However, during practice it started raining, so they could not finish their runs. Billy had finished $\frac { 1 } { 3 }$ of his run, while Ken had finished $\frac { 1 } { 2 }$ of his run. Draw a picture to determine which cross-country star ran the farthest.