A person traels by car from one city to another with different constant speeds between pairs of cities. She drives for 30.0 min at 80.0km/h,12.0 min at 100km/h ad 45.0 min at 40.0km/h and spends 15.0min eating lunch and buying gas. (a) determine the average speed for the trip. (b) determine the distance between the initial and final cities along the route.