Mateo's family took a trip to visit some relatives. They drove for 2 1/2 hours at 55 mph to get there but the trip home took them 15 minutes longer. At what speed were they traveling on the drive home?

Speed they were traveling on the drive home = 50 mph

Step-by-step explanation:

Trip to relatives home:

Speed = 55 mph

Time taken = 2 1/2 hours = 2.5 hours

Distance = Speed x Time taken = 55 x 2.5 = 137.5 miles.

Trip to drive home:

Time taken = 2 1/2 hours + 15 minutes = 2 3/4 hours = 2.75 hours

Distance = 137.5 miles.

Speed = Distance / Time = 137.5/2.75 = 50 mph

Speed they were traveling on the drive home = 50 mph