Quadratic Question. No idea where to start

Gardenknome

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May 4, 2020
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A plane flies from city A to city B and back again. City A and city B are 1000 km apart. The total journey takes 10 hours. On the way to city B the strong wind is slowing the plane down by 10 km/h. On the way back to city A the wind is stronger and is speeding the plane up by 20 km/h.
(a) Determine a quadratic equation to calculate the plane’s average speed by using that speed = distance time . Give the average speed rounded to two decimals.

(b) Determine the duration of the flight from city B to city A to the nearest minute.
 
"No idea where to start" -- I do not believe that.

Did you draw a picture? Put "A" and "B" somewhere. Draw a line between them and mark it "1000 km". Are you SURE you could not have thought of that?
 
Are there any unknowns? If yes, then you need to define them in a clear way.
See what you can do from there, but do post back.
 
So the unknown would be the average distance but I just cannot figure out how to create a quadratic equation based on the information provided.
 
Do you know that Distance = Rate * Time?

What are these things for the two trips?
 
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