document.write( "Question 123539: The rate of the bicyclist is 7 mph faster than the rate of a long-distance runner. The bicyclist travels 30 miles in the same amount of time that the runner travles 16 miles. Find the rate of the runner.\r
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document.write( "I know you can find rate R= d/t i have 30/x+7 for cyclist and 16/x for runner. I don't know what to do with these numbers now.
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document.write( "Please help
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document.write( "THANK you \n" );
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Algebra.Com's Answer #90621 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! The rate of the bicyclist is 7 mph faster than the rate of a long-distance runner. \n" ); document.write( "The bicyclist travels 30 miles in the same amount of time that the runner travles 16 miles. \n" ); document.write( "Find the rate of the runner. \n" ); document.write( "---------------------------------------- \n" ); document.write( "Bicyclist DATA: \n" ); document.write( "Distance = 30 miles ; Rate = x+7 mph ; Time = d/r = 30/(x+7) hrs. \n" ); document.write( "------------------------ \n" ); document.write( "Runner DATA: \n" ); document.write( "Distance = 16 miles ; Rate = x mph ; Time = d/r = 16/x hrs \n" ); document.write( "------------------------- \n" ); document.write( "EQUATION: \n" ); document.write( "cyclist time = runner time \n" ); document.write( "30/(x+7) = 16/x \n" ); document.write( "30x = 16x+112 \n" ); document.write( "14x = 112 \n" ); document.write( "x = 8 mph (runner rate) \n" ); document.write( "=========================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |