I think Eggman002 hits on it exactly. Sure, technically the wind is moving faster, but not that it would affect anything on earth, since we're all moving with it. Imagine standing at the back of a bus that is moving at 80km/h, then walk from the back of the bus to the front at 5km/h. In relation to the floor of the bus, you are only moving at 5km/h, in relation to the ground under the bus, you are moving at 85km/h, and in relation to space outside of Earths atmosphere, you are moving very, very fast. If the bus is driving west-east, then technically you are walking 85km/h faster than the earth is rotating. So to simply answer your question: Yes, a west-east wind is moving faster than the earth is rotating.