# SOLUTION: Science and medicine. A bicyclist rode into the country for 5 h. In returning, her speed was 5 mi/h faster and the trip took 4 h. What was her speed each way?

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 Question 59386This question is from textbook : Science and medicine. A bicyclist rode into the country for 5 h. In returning, her speed was 5 mi/h faster and the trip took 4 h. What was her speed each way?This question is from textbook Answer by funmath(2925)   (Show Source): You can put this solution on YOUR website!Science and medicine. A bicyclist rode into the country for 5 h. In returning, her speed was 5 mi/h faster and the trip took 4 h. What was her speed each way? The distance formula is , d=distance, r=rate, and t=time. : The time (t) into the country is: 5 The rate into the country is: r (because we don't know it) The distance into the country is: 5r : The time (t) back is: 4 The rate back is 5 more than into: r+5 The distance back is: 4(r+5) : In reality the distance into the country and the distance back are the same, so set the two distances equal to each other. : 5r=4(r+5) 5r=4r+20 5r-4r=-4r+4r+20 r=20 : Her speed into the country is: x=20 m/h He speed back is: r+5=20+5= 25m/h : For fun you can now find out how far from the country she was if you wanted to. Happy Calculating!!!