document.write( "Question 134794: I could really use some help on this word problem.\r
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document.write( "One airplane flies 80mph faster than another airplane. The first one goes 1500mi in the same time as the second travels 850mi. What is the speed of each?\r
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document.write( "Thanks for any help,\r
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document.write( "Richard \n" );
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Algebra.Com's Answer #98633 by stanbon(75887) ![]() You can put this solution on YOUR website! I could really use some help on this word problem. \n" ); document.write( "One airplane flies 80mph faster than another airplane. The first one goes 1500mi in the same time as the second travels 850mi. What is the speed of each? \n" ); document.write( "----------------- \n" ); document.write( "1st airplane DATA: \n" ); document.write( "distance 1500 miles ; rate = r+80 mph ; time = 1500/(r+80) hrs. \n" ); document.write( "---------------------- \n" ); document.write( "2nd airplane DATA: \n" ); document.write( "distane = 850 miles ; rate = r mph ; time = 850/r hrs. \n" ); document.write( "------------------------- \n" ); document.write( "EQUATION: \n" ); document.write( "time = time \n" ); document.write( "1500/(r+80) = 850/r \n" ); document.write( "dividing by 50 you get: \n" ); document.write( "30/(r+80) = 17/r \n" ); document.write( "30r = 17r+17*80 \n" ); document.write( "13r = 17*80 \n" ); document.write( "r = 104.62 mph (speed of 2nd plane) \n" ); document.write( "r+80 = 184.62 mph (speed of 1st plane) \n" ); document.write( "======================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |