Answer:
As below
Explanation:
we want to know how long it took to fly so make two equations and set them equal to each other using the variable t
so, use d = r*t where d= distance , r= rate ( speed) and t = time
w= wind velocity (speed with direction)
1500=(w+550)*t
1000=(-w+550)*t
now make both equations with respect to t
1500/(w+550) = t
1000/(-w+550) = t
since they are both equal to t, where t is the same amount of flying time, set the two equations equal to each other
1500/(w+550) = 1000/(-w+550)
now solve for w
1500w + 825,000 = -1000w+550,000
2500w= -275,000
w = - 110
the wind speed is 110 opposite of the planes direction but also, if the plane flies in the other direction with it.
wind velocity (velocity is speed with a direction ) is 110 MPH
they are asking for speed, b/c we don't know anything about direction... that is which direction is the plane headed during it's flight therefore we also can't say anything about the wind direction either. :|