A professor from Syracuse University's Department of Mad Science wants to remove a boulder from the surface of a frozen lake so they can use it as a large low-friction surface for testing mad-scientific inventions. However, they need to remove a boulder that is blocking the way. Being a mad scientist, they decide to blow it up. They use a bit of dynamite to blast the rock into two pieces. The big piece has three times the mass of the little piece. Both slide along the ice (with the same coefficient of kinetic friction) before finally coming to a stop. If the little piece slides 90 meters before coming to a stop, how far does the big piece slide?