document.write( "Question 335950: A car travels 245 miles in the same time an airplane travels 2115 miles. If the rate of the car is 340 miles per hour less than the rate of the airplane, what is the rate of each? Let r represent the rate of the car. \r
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document.write( "How would I write this equation out? \n" );
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Algebra.Com's Answer #240943 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "A car travels 245 miles in the same time an airplane travels 2115 miles. If the rate of the car is 340 miles per hour less than the rate of the airplane, what is the rate of each? Let r represent the rate of the car. \n" ); document.write( "-------------------------------------------------------- \n" ); document.write( "Car DATA: \n" ); document.write( "distance = 245 miles ; rate = r mph ; time = 245/r hours \n" ); document.write( "----- \n" ); document.write( "Plane DATA: \n" ); document.write( "distance = 2115 miles ; rate = r+340 mph ; time = 2115/(r+340) hours \n" ); document.write( "----- \n" ); document.write( "Equation: \n" ); document.write( "car time = plane time \n" ); document.write( "245/r = 2115/(r+340) \n" ); document.write( "Cross-multiply \n" ); document.write( "245(r+340) = 2115r \n" ); document.write( "245r + 245*340 = 2115r \n" ); document.write( "------------------------------- \n" ); document.write( "245*340 = 1870r \n" ); document.write( "r = 44.55 mph (car rate) \n" ); document.write( "----- \n" ); document.write( "r+340 = 384.55 mph (plane rate) \n" ); document.write( "================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |