Question

Plz help with this word problem

Answer 1

Yeah, these are tough.

When the plane is flying in the same direction as the wind,
the wind helps it cover ground faster.

Plane + Wind = 460 mph

When the plane is flying opposite to the wind, the wind makes it
cover ground slower.

Plane - Wind = 400 mph

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OK.  So far we have

Plane + Wind = 460 mph
Plane - Wind = 400 mph

Add the two equations, and you get

2 Plane + zero = 860 mph

Divide each side by 2:  Plane = 430 mph

Plug that into the first equation:     430mph + Wind = 460 mph

Subtract 430 mph from each side:  Wind = 30 mph