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.
(..) A crown to the man who brings me Locksley's head! Have we lost them? No! My horse carries two. Yours is lame. We can't outrun them. Leave me, Master Robin! I slow your escape. We'll hide in the forest. Sherwood Forest is haunted. We take our chances with ghosts, (..)1991 Robin Hood: Prince of Thieves