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A person travels by car from one city to another. She drives for 39.4 minutes at 71.5 km/h, 14.2 minutes at 93.7 km/h, and 53.8 minutes at 36.3 km/h, and spends 10.3 minutes along the way eating lunch and buying gas.

1. Determine the distance between the cities along this route. Answer in units of km.

2. Determine the average speed for the trip. Answer in units of km/h.

Answer :

Final answer:

The total distance travelled by the person is 101.76 km, while his average speed during the trip is 48.23 km/h.

Explanation:

To find the distance travelled we multiply the time spent driving by the speed at which the driving occurred. Thus, the total distance for each segment is: 39.4 min * 71.5 km/h = 47.03 km, 14.2 min * 93.7 km/h = 22.19 km, and 53.8 min * 36.3 km/h = 32.54 km. Summing these gives a total distance of 101.76 km.

To find the average speed, we divide this total distance by the total time spent (which includes time spent eating and gassing up the car). This gives: 101.76 km / (39.4 min + 14.2 min + 53.8 min + 10.3 min) in hours = 48.23 km/h.

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