Two kids at a summer camp, Barbara and Kyle, are competing in a potato sack race. Barbara is younger, so she is given a head start of 27 yards. When the race starts, Barbara hops at a rate of 1 yard per second, and Kyle hops 4 yards per second. Eventually, Kyle will overtake Barbara. How far will Kyle have to hop? How long will that take? Kyle will catch up to Barbara after hopping ( ) yards in ( ) seconds.