# SOLUTION: Marco’s speed riding up a hill is 40% of his speed riding down the hill. It takes him two hours longer to ride up the hill than it takes him to ride down the hill. How long, in hou

Algebra ->  Algebra  -> Customizable Word Problem Solvers  -> Travel -> SOLUTION: Marco’s speed riding up a hill is 40% of his speed riding down the hill. It takes him two hours longer to ride up the hill than it takes him to ride down the hill. How long, in hou      Log On

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 Click here to see ALL problems on Travel Word Problems Question 316801: Marco’s speed riding up a hill is 40% of his speed riding down the hill. It takes him two hours longer to ride up the hill than it takes him to ride down the hill. How long, in hours, does it take him to ride down the hill? Express your answer as a common fraction.Answer by ankor@dixie-net.com(15660)   (Show Source): You can put this solution on YOUR website!Marco’s speed riding up a hill is 40% of his speed riding down the hill. It takes him two hours longer to ride up the hill than it takes him to ride down the hill. How long, in hours, does it take him to ride down the hill? Express your answer as a common fraction. : Let s = his speed down hill then .4s = his speed up hill : Let one way distance = 10 : Write a time equation: time = dist/speed : Time up - time down = 2 hrs - = 2 hrs multiply by .4s, results 10 - .4(10) = 2(.4s) : 10 - 4 = .8s : 6 = .8s s = s = 7.5 is the downhill speed then .4(7.5) = 3 is the uphill speed : Find the time to ride down hill 10/7.5 = 1 hr : Check solution by finding the time uphill 10/3 = 3 hr, a two hr difference