document.write( "Question 1026592: Kristina went on a 260 mile trip to a soccer game. On the way back, due to road construction she had to drive 13 miles per hour slower. This made the trip take 1 hour longer. How fast did she drive to the soccer game?\r
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document.write( "She drove how many mph on her way to the soccer game? \n" );
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Algebra.Com's Answer #641852 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Kristina went on a 260 mile trip to a soccer game. On the way back, due to road construction she had to drive 13 miles per hour slower. This made the trip take 1 hour longer. How fast did she drive to the soccer game? \n" ); document.write( "She drove how many mph on her way to the soccer game? \n" ); document.write( "------ \n" ); document.write( "To the game DATA: \n" ); document.write( "dist = 260 miles: rate = r mph ; time = 260/r hrs. \n" ); document.write( "------------------- \n" ); document.write( "From game DATA: \n" ); document.write( "dist = 260: rate = r-13 mph ; time = 260/(r-13) hrs \n" ); document.write( "----- \n" ); document.write( "Equation: \n" ); document.write( "from time - go time = 1 hr \n" ); document.write( "----- \n" ); document.write( "260/(r-13) - 260/r = 1 hr \n" ); document.write( "---------------------------------- \n" ); document.write( "260r - 260r + 13*260 = r(r-13) \n" ); document.write( "-------------------------------- \n" ); document.write( "r^2 - 13r - 13*260 = 0 \n" ); document.write( "---------- \n" ); document.write( "(r-65)(r+52) = 0 \n" ); document.write( "---- \n" ); document.write( "Positive solution:: rate = 65 mph \n" ); document.write( "----------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "------------------ \n" ); document.write( " |