Joey and Mike live 300 miles from each other at opposite ends of State Highway 1. Driving toward each other on State Highway 1, they met in the central part of the state. Joey left home at 7:30 a.m. traveling at an average speed of 60 mph and Mike left home at 11:20 a.m. traveling at an average speed of 80 mph. At what time that afternoon did they meet?
Joey has a head start of 3 hrs 50 min = 3.8333 hrs and travels 3.8333 hr * 60 m/hr = 230 miles before Mike left
now there are only 300 - 230 = 70 miles left to cover
They approach each other at 60 + 80 = 140 m/hr and will cover this distance in 70 mi/ 140 m/hr = 30 minutes after Mike leaves
then they would meet at 11:20 + 30 min = 11:50 AM <=====NOT in the afternoon !