Distance and Speed: Calculate Avg Speed for 80km at 100 km/h & 50km at 75 km/h

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To calculate the average speed for a motorist traveling 80 km at 100 km/h and 50 km at 75 km/h, the average speed formula (avg speed = total distance / total time) is applied. The total distance is 130 km, but the time taken for each segment must be calculated separately. The first segment takes 0.8 hours, and the second segment takes 0.6667 hours, leading to a total time of approximately 1.4667 hours. The correct average speed for the entire trip is approximately 88.6 km/h. This calculation emphasizes the importance of accurately determining both distance and time for average speed assessments.
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Homework Statement



A mortorist travels 80km at 100 km/h, and 50 km at 75 km/h. WHat is the average speed for the trip?

Homework Equations


I used (avg)s=distance/time


The Attempt at a Solution


I got 6.2 km/h which I know is way off.
 
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It's a good first step to realize that your answer is not terribly realistic.

I believe you have the right equation. The average speed is: d/t. What is the total distance travel (d=?)? The little trick will be to find out how long it took the motorist to travel this distance (t=?)?

Cheers
 
v_{avg}=\frac{\Delta x }{\Delta t}
Find how far it travels in part one and add that to how far it travels in trip 2. And do the same for t.
 
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