Let

d1 = 190 miles the distance traveled against the wind

d2 = 290 mi the distance traveled with the wind

t = 2 hours the time of the flight in each direction

w = the speed of the wind

v = the speed of the plane in still air

v - w = the speed of the plane flying against the wind

v + w = the speed of the plane flying with the wind

Since speed = distance/time we have:

v - w = d1/t

v - w = 190/2

v + w = d2/t

v + w = 290/2

We have the following system of equations:

v - w = 190/2

v + w = 290/2

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click here to see the system of equations solved for v and w

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v = 120 mph the speed of the plane in still air

w = 25 mph the speed of the wind