Question 24
Julian trains on a track of $3~\mathrm{km}$. He walks the first kilometer by walking, the second running, and the third on a bicycle. If he had traveled the entire track by bicycle, it would have taken 10 minutes less. Julian runs at twice the speed with which he walks, and rides a bicycle at triple the speed with which he walks. How long does Julian take to run $1~\mathrm{km}$?