An automobile leaves Town A and moves 80 km/h to Town B, then 60 km/h to return to Town A. What is the car’s average velocity for the whole trip?
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1. From Town A to Town B:
Distance = Speed × Time
Let’s denote the time taken as “t”.
Then:
Distance = 80 km/h × t
2. From Town B to Town A:
The car returns the same distance(automobile travel from A to B), but at a different speed:
Distance = 60 km/h × t (since the distance is the same)
Total Distance = 80t + 60t = 140t
Total Time = t + t = 2t
Now, we can find the average velocity:
Average Velocity = Total Distance / Total Time
= 140t / 2t
= 70 km/h
So, the car’s average velocity for the whole trip is 70 km/h.