document.write( "Question 669510: Kevin traveled by car at an average speed of 29 miles per hour.\r
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document.write( "Then, he traveled by bike at an average speed of 6 miles per hour.\r
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document.write( "In total, he traveled 144 miles for 6 hours.\r
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document.write( "How many miles did Kevin travel by car? (Round to the nearest mile.) \n" );
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Algebra.Com's Answer #416412 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Kevin traveled by car at an average speed of 29 miles per hour. \n" ); document.write( "Then, he traveled by bike at an average speed of 6 miles per hour. \n" ); document.write( "In total, he traveled 144 miles for 6 hours. \n" ); document.write( "How many miles did Kevin travel by car? (Round to the nearest mile.) \n" ); document.write( "--------------- \n" ); document.write( "Car DATA: \n" ); document.write( "rate = 29 mph ; distance = x miles ; time = d/r = x/29 hrs. \n" ); document.write( "------------------ \n" ); document.write( "Bike DATA: \n" ); document.write( "rate = 6 mph ; distance = 144-x miles ; time = d/r = (144-x)/6 hrs \n" ); document.write( "------------------ \n" ); document.write( "Equation: \n" ); document.write( "time + time = 6 hrs. \n" ); document.write( "x/29 + (144-x)/6 = 6 hrs \n" ); document.write( "----- \n" ); document.write( "6x + 29(144-x) = 6*6*29 \n" ); document.write( "6x + 29*144 - 29x = 36*29 \n" ); document.write( "-23x = -108*29 \n" ); document.write( "x = 136.17 = 136 miles (car travel rounded down) \n" ); document.write( "=============== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |