A person travels by car from one city to another withdifferent constant speeds b

Question

A person travels by car from one city to another withdifferent constant speeds between pair of cities. She drivesfor 31.1 min at 79.6 km/h, 13 min. at 108.2 km/h, and 55.2 min at40.9 km/h, and spends 19.2 min eating lunch and buying gas. Find the distance between the initial and final cities alongthis route and the average speed. A person travels by car from one city to another withdifferent constant speeds between pair of cities. She drivesfor 31.1 min at 79.6 km/h, 13 min. at 108.2 km/h, and 55.2 min at40.9 km/h, and spends 19.2 min eating lunch and buying gas. Find the distance between the initial and final cities alongthis route and the average speed.

Explanation / Answer

31.1 mins=31.1/60 hrs in 31.1/60 hrs the person traveled=79.6*(31.1/60)=41.26 km in 13 mins or 13/60 hrs the person traveled=108.2*(13/60)=23.44km in 55.2 mins or 55.2/60 hrs the persontraveled=40.9*(55.2/60)=37.63 km the distance between initial and finalcities=41.26+23.44+37.63=102.33 km total time=(31.1+13+55.2+19.2)/60=118.5/60 average speed=102.33/(118.5/60)=51.81 km/hr

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