document.write( "Question 521861: An elf steals a sleeping dragon's gold treasure and runs off at 16 mph. 3 hours after the theft, the dragon wakes up and sets off after the elf at 20 mph. How long will it take the dragon to capture his lunch?\r
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document.write( "Dragon dines on firey roasted elf in ________ hours. \n" );
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Algebra.Com's Answer #346601 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! An elf steals a sleeping dragon's gold treasure and runs off at 16 mph. \n" ); document.write( "--------------------------------- \n" ); document.write( "3 hours after the theft, the dragon wakes up and sets off after the elf at 20 mph. \n" ); document.write( "------------------------------------------- \n" ); document.write( "How long will it take the dragon to capture his lunch? \n" ); document.write( "------------------------------------ \n" ); document.write( "Elf DATA: \n" ); document.write( "rate = 16 mph ; time = x hrs ; distance = 16x miles \n" ); document.write( "------ \n" ); document.write( "Dragon DATA: \n" ); document.write( "rate = 20 mph ; time = x-3 hrs ; distance = 20(x-3) miles \n" ); document.write( "---------------------- \n" ); document.write( "Equation: \n" ); document.write( "elf distance = dragon distance \n" ); document.write( "16x = 20(x-3) \n" ); document.write( "16x = 20x - 60 \n" ); document.write( "4x = 60 \n" ); document.write( "x = 15 hrs (elf time) \n" ); document.write( "x-3 = 12 hrs (dragon time) \n" ); document.write( "============================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "================\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "Dragon dines on firey roasted elf in ________ hours. \n" ); document.write( " \n" ); document.write( " |