to reach the same level or position as someone ahead
достигнуть того же уровня или положения, что и кто-то впереди (dostignut' togo zhe urovnya ili polozheniya, chto i kto-to vperedi)
"He ran faster to catch up to the leading runner."
"Он бегал быстрее, чтобы догнать ведущего бегуна." (On begal bystree, chtoby **dognat'** vedushhego beguna)
to add more details to make something complete
to happen or result from something that was done earlier
to return a favor or repay someone
to find something by accident
to train someone thoroughly to improve their skills
to improve or recover after falling or dropping