document.write( "Question 644568: Can you show me the steps to solving this and how to set up an equation to solve it?
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document.write( "Sarah and John are driving in opposite direction on a straight road. John is driving fifteen miles per hour faster than Sarah. After three hours they are 375 miles apart. How fast were Sarah and John traveling? \n" );
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Algebra.Com's Answer #405141 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Sarah and John are driving in opposite direction on a straight road. John is driving fifteen miles per hour faster than Sarah. After three hours they are 375 miles apart. How fast were Sarah and John traveling? \n" ); document.write( "---- \n" ); document.write( "You want to solve for \"rate\". \n" ); document.write( "---- \n" ); document.write( "Sarah DATA: \n" ); document.write( "rate = x mph ; time = 3 hours ; distance = 3x miles \n" ); document.write( "-------------- \n" ); document.write( "John DATA: \n" ); document.write( "rate = x+15 mph ; time = 3 hours ; distance = 3(x+15) miles \n" ); document.write( "------------------------- \n" ); document.write( "Equation: \n" ); document.write( "distance + distance = 375 miles \n" ); document.write( "3x + 3(x+15) = 375 \n" ); document.write( "3x + 3x + 45 = 375 \n" ); document.write( "6x = 330 \n" ); document.write( "x = 55 mph (Sarah's rate) \n" ); document.write( "x+15 = 70 mph (John's rate) \n" ); document.write( "========================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "=============== \n" ); document.write( " |