How Does Crosswind Affect Flight Time and Heading?

[510betty]

I hope my question is clear. I understand it might be kind of complex.

( x and y coordinates are in miles)
Point A departure (0,0)
Point B (?, 300)
Point C destination (0,500)

An airplane will head due north at 300mi/h to a destination 500 miles away. From point A to point B, the plane will experience a 40 mi/h crosswind flowing in the direction N 30° E. Then from point B to point C, the plane will experience a 40 mi/h crosswind flowing in the direction N 30° W .How long will it take the plane to to go from point A to point C and what direction must it head in ? (find the true speed and direction of the airplane)

( in an attempt to clarify the question, basically) The airplane flies to point B under the influence of a wind in the direction N30E. The wind then changes to N30W, and the airplane flies under its new influence in flying from point B to point C (0, 500).

any advice is greatly appreciated

 

[510betty]

this is a graph of what I am reffering to. I changed the names points, sorry. The question mark is suppose to be point (?,500). I thought about trying to solve the green triangles to give me the points and the angles.