Clouds move anywhere from 30 to 40 mph in a thunderstorm to over 100 mph when caught in a jet stream. Cloud speed varies depending on weather, altitude, the type of cloud and other factors. High cirrus clouds, the clouds that get caught in jet streams, are the fastest.
Clouds move according to wind patterns, which change depending on the level of atmosphere. Even when there is no wind on the ground, clouds such as high cirrus clouds still move high in the sky because of the wind currents there. Other clouds, such as lenticular clouds, do not appear to move even in strong winds. As the wind pushes water droplets away from a lenticular cloud, the cloud creates new droplets, making it seem as if the cloud is stationary.