race to (someone or something)
To move, run, drive, etc., in a very hurried or frantic manner to some person, thing, or destination. I have to race to the bank so I can deposit this check before they close. Tommy raced to his teacher to tell him what happened.
race someone to some place
to compete against someone to see who gets to a place first. I will race you to the door. Tim wanted to race me to the corner.