# Math

posted by Sarah

an airplane travels 500 km with the wind in the same time that it takes the airplane to travel 400 km against the wind. the average speed of the plane in still air is 180 km/h. what is the average speed of the wind?

Airplane with wind:
Distance: 500km
Speed: 180+x
Time:

Airplane against wind:
Distance: 400km
Speed: 180-x
Time:

I'm not sure how to do this. Can i please get help?

1. bobpursley

500=(va+vw)*time
400=(va-vw)*time

500=(va+vw)(400)/(va-vw)
500(va-vw)=400(va+vw)
you are given Va=180
Can you solve it now?

2. Sarah

I'm not sure what you did. What is VA and VW?

3. Sarah

Thank you so much

So My equation would be:
500/180+x= 400/180-x

And the answer that I get is: 20km/h.

Is at correct?

4. bobpursley

correct.

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