# SOLUTION: michaek drove to a friends house at a rate of 40 mph. he returned the same route at a rate of 45 mph. the driving time for the round trip was 4 hours. what was the distance michael

Algebra ->  Algebra  -> Customizable Word Problem Solvers  -> Travel -> SOLUTION: michaek drove to a friends house at a rate of 40 mph. he returned the same route at a rate of 45 mph. the driving time for the round trip was 4 hours. what was the distance michael      Log On

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 Question 208160This question is from textbook : michaek drove to a friends house at a rate of 40 mph. he returned the same route at a rate of 45 mph. the driving time for the round trip was 4 hours. what was the distance michael traveled?This question is from textbook Answer by ankor@dixie-net.com(15624)   (Show Source): You can put this solution on YOUR website!michaek drove to a friends house at a rate of 40 mph. he returned the same route at a rate of 45 mph. the driving time for the round trip was 4 hours. what was the distance michael traveled? : let d = one way distance : Write a time equation: Time = : Go time + return time = 4 hrs + = 4 Multiply equation by 360 to get rid of the denominators, results: 9d + 8d = 4(360) : 17d = 1440 d = d = 84.7 mi one way : then total dist: 2*84.7 = 169.4 mi : : Check solution by finding the times 84.7/40 = 2.1175 84.7/45 = 1.8822 ----------------- totaltime 3.9997 ~ 4 hrs