plane speed of sound

Some friends of mine and I were wondering
If you’re traveling at the speed of sound in an airplane, and you walk from the back of the plane to the front of the plane, are you going faster then the speed of sound?:confused:

Yes and No.

Yes, you’re going faster than the speed of sound in the air outside the airplane. Obviously, however, you’re not going faster than the speed of sound in the air inside the plane, which is where I assume you are.

After all, there’s nothing fundamental about the speed of sound; it’s not like the speed of light in a vacuum.

thanks