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Asked Dec 19, 2019
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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 50.0 min at 65.0 km/h, 12.0 min at 80.0 km/h, and 60.0 min at 35.0
km/h and spends 40.0 min eating lunch and buying gas.
(a) Determine the average speed for the trip.
km/h
(b) Determine the distance between the initial and final cities along the route.
km
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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 50.0 min at 65.0 km/h, 12.0 min at 80.0 km/h, and 60.0 min at 35.0 km/h and spends 40.0 min eating lunch and buying gas. (a) Determine the average speed for the trip. km/h (b) Determine the distance between the initial and final cities along the route. km

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Expert Answer

Step 1

Given:

Person drives 50 min at 65 km/h

12 min at 80 km/h

60 min at 30 km/h

And takes 40 min lunch break.

Step 2

Calculating the average sp...

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Total distance travelled As we know, Average Speed = Total time taken Total distance travelled by the person, lh D = 50minx- 60 min lh x 65km /h + 12 minx- 60 min lh x80km/h+ 60minx- 60 min 30km/h D =100.2km 1h Total time taken, T= (50min+12 min+ 60 min+40min) =162 minx- = 2.7h 60 min D 100.2km = 37.11km / h Hence, Average Speed = 2.7h So, average speed of the man is approximately 37km /h

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