A person travels by car from one city to another with different constant speeds between pairs of cities. She drives for 40.0 min at 85.0 km/h, 12.0 min at 95 km/h, and 35.0 min at 30.0 km/h, and spends 35.0 min eating lunch and buying gas. Determine the average speed for the trip and determine the distance between the initial and final cities along this route.