1. Pete and Vova want to cross a river 160 (m) wide. They have a small rubber boat, in which only one person can paddle at a speed of 32 (m/min). They started the crossing simultaneously: Pete in the boat, Vova - swimming. At some point, Pete left the boat and continued swimming on his own, while Vova, catching up with the boat, completed the crossing in it. Pete swims at a speed of 16, Vova - 24 (m/min). What distance should Pete paddle in the boat so that the total crossing time is minimized? (time for transferring into the boat and river current are not considered).
Answer: $120 \mathrm{m}$.