Finding average speed & distance traveled?

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Luxurious
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Homework Statement



Sally travels by car from one city to another. She drives for 30.0 min at 52.0 km/h, 35.0 min at 48.0 km/h, and 23.0 min at 50.0 km/h, and she spends 10.0 min eating lunch and buying gas.


Homework Equations



avg. speed= distance traveled / time of travel



The Attempt at a Solution



first, I added all three speeds (52+48+50) and divided by 3. I got 50 as the average speed, but the website says I'm incorrect.

How can I find the average speed without the distance traveled?

avg. speed = distance traveled / (30+35+23)
avg. speed = distance traveled / 88
 
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I don't think you can find the average speed without first finding the distance!
It shouldn't be hard to work out the distances - just use d = vt for each. Get the total distance and the total time, then use the "relevant equation".