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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?

 Jan 13, 2024
 #1
avatar+37146 
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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 !

 Jan 13, 2024

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