### Question Description

A person travels by car from one city to another with different constant speeds between pairs of cities. She drives for 15.0 min at 85.0 km/h, 20.0 min at 60.0 km/h, and 45.0min at 45.0 km/h and spends 55.0 min eating lunch and buying gas.

a)Determine avg speed for trip.

b)Determine the distance between the initial and final cities along the route.

## Explanation & Answer

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Convert all the minutes that he traveled in to hours by dividing them by 60

When drove at 85kph for 15 minutes...so that in a a quarter an hour. The total distance he covered was 85x1/4=21.25 km

when he drove at 60kph for 20 minutes he covered a distance of 60x1/3=20km

when he drove at 45kph for 45 minutes he covered a distance of 45x3/4 =33.75km

75 kmHe spent how many minutes in total? 15+20+45+55=135 minutes

Convert the minutes unto hours by dividing them by 60

135/60=2.25 hours

Remember, speed=distance/time

so the average speed will be the total distance covered divided by the time taken to cover it

75/2.25=33.33 km