Answer:
a) The average speed for the trip is 52.9
b) The distance between the initial and final cities along the route is 90 km.
Explanation:
First, knowing that 1 hour is 60 minutes, the conversion of the times in which you travel at each speed or for lunch or buy gas is performed:
- 30 minutes: 0.5 hr
- 12 minutes: 0.2 hr
- 45 minutes: 0.75 hr
- 15 minutes: 0.25 hr
Velocity is a physical quantity that expresses the relationship between the space traveled by an object in the following way:
Then:
change of position=velocity*time
So, in this case:
- change of position 1= 0.5 hr* 80 = 40 km
- change of position 1= 0.2 hr* 100 = 20 km
- change of position 1= 0.75 hr* 40 = 30 km
So, the total distance traveled is change of position 1+ change of position 2 + change of position 3= 40 km + 20 km + 30 km= 90 km
And the total elapsed time is considering the lunch time and gas purchase added to the time to make the journey to the technical stop: 0.5 hr + 0.2 hr + 0.75 hr + 0.25 hr= 1.7 hr
So, the velocity is:
Finally:
<u><em>a) The average speed for the trip is 52.9 </em></u><u><em></em></u>
<u><em>b) The distance between the initial and final cities along the route is 90 km.</em></u>