The demand for the product has quickly 'outrun' [='exceeded', 'outpaced'] the company's ability to produce it.
The rabbit had no chance of 'outrunning' the dogs.
His motorcycle could 'outrun' any car on the road.
(..) The power in that fortress will only grow stronger. You want me to cast my friends aside? Anything behind us? Not that I can see. I think we've outrun the Ores. Not for long. We've lost the current. Bombur's half drowned. - Make for the shore! - Aye. Come on, let's go! (..)2013 The Hobbit: The Desolation of Smaug