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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 75.0 km/h, 12.0 min at 75.0 km/h, and 40.0 min at 60.0 km/h and spends 50.0 min 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.
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