Just happened to my 2013 LX570 at 120k. Didn't even notice till I opened the hood to connect my pump to the battery to air up tires. I have no idea when it split, but the reserve coolant reservoir was empty. I filled it with water and drove conservatively the 40 miles home—all the while closely watching the temp gauge. By the time I got home one hour later the reserve tank was only down about an inch from full. No overheating. Much will depend how bad your split is.