Randy left town on his bicycle, traveling at an average of 16 miles per hour. Four hours later, his older brother, Jimmy, went looking for Randy on his motorcycle. Jimmy traveled at an average of 48 miles per hour. How long would it take Jimmy to catch up to Randy?
Randy has a head start 16 m/hr x 4 hr = 64 miles
Jimmy is going 48-16 m/hr faster = 32 m/hr faster
Jimmy will cover the 64 mile headstart and catch Randy after 64 m / 32/mhr = 2 hours