Question 141075
See the solution I gave for this problem --> http://www.algebra.com/algebra/homework/quadratic/Quadratic_Equations.faq.question.137499.html


Then look at your problem and find out what two equations you can make to describe what you are given.

We know the distance is the same going both ways.
Let s be the speed of the plane and w be the wind.

Then D = velocity * time.

3000 = (s-w) * 6   or 500 = s-w
3000 = (s+w) * 5   or 600 = s+w

Now use the info from the link above and you can do the rest