a man averaged 50mph traveling from Denver to Minneapolis. returning by a different route that covered the same amount of miles, he averaged 55mph. what is the distance between the two cities if his total time was 32hrs? i have no idea how to set up the equation to solve this problem. it is driving me crazy and is due Friday Apr19th. someone with math expertise please help!
This is the same D=RT formula. miles = (miles/hour) * hoursTrip one is D miles = 50 miles/hour * x hoursTrip two is D miles = 55 miles/hour * y hoursThe miles are the same, and the total x+y=32, or y=32-x50x = 55(32-x)50x = 1760-55x105x = 1760x = 16.762 hoursy = 15.238 hoursx = 50*16.762 = 838.1 milesy = 55*15.238 = 838.1 miles, so it checks both ways.