Unlike other plant-eating dinosaurs, duckbills such as Hypacrosaurus didn't have piercing horns, dagger-like teeth, or hulking body armor.
So the ability to grow bigger faster provided the animals with a size advantage that likely served them well in their early years.
For example, baby duckbills were probably about the same size as Tyrannosaurus rex hatchlings, said study co-author Drew Lee of Ohio University's College of Osteopathic Medicine.
But by five years old the duckbill would be the size of a grown cow, while the T. rex would be only as big as a large dog.
"It's harder to hunt a larger animal, because it's physically dangerous," said study co-author Lisa Noelle Cooper of Kent State University and the Northeastern Ohio Universities College of Medicine.
"Growing Like Crazy"
Duck-billed dinosaurs, or hadrosaurs, were diverse and abundant in the late Cretaceous period, about 70 million years ago.
The soft-bodied animals flourished in what is now North America alongside many different meat-eating, two-legged dinosaurs known as theropods. (See a picture of the diversity of life in the Cretaceous.)
By counting and measuring rings in fossil leg bones, the researchers compared growth rates for Hypacrosaurus and three common theropods: the tyrannosaurs Albertosaurus and T. rex and the small velociraptor-like Troodon.
As with trees, each ring in the fossil bones represents a year of life. The wider the ring, the more growth occurred that year.