document.write( "Question 139334: I need to solve this with either the elimination or substitution method. Thank you. It takes Boat A 3 hours longer to travel 50kms than it takes Boat B to travel 60kms. Boat A travels one third the speed of Boat B. What is the speed of each boat. \r
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document.write( "Thanks. \n" );
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Algebra.Com's Answer #101588 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! solve this with either the elimination or substitution method. Thank you. It takes Boat A 3 hours longer to travel 50kms than it takes Boat B to travel 60kms. Boat A travels one third the speed of Boat B. What is the speed of each boat. \n" ); document.write( "---------------------- \n" ); document.write( "A-Boat DATA: \n" ); document.write( "distance 50 km ; Rate = x kph ; time = 50/x \n" ); document.write( "----------------------- \n" ); document.write( "B-Boat DATA: \n" ); document.write( "distance = 60 km ; rate = 3x kph ; time = 60/(3x) \n" ); document.write( "---------------------------------- \n" ); document.write( "EQUATION: \n" ); document.write( "time A - time B = 3 \n" ); document.write( "50/x - 60/(3x) = 3 \n" ); document.write( "Multiply thru by 3x to get \n" ); document.write( "150 - 60 = 9x \n" ); document.write( "90 = 9x \n" ); document.write( "x = 10 kph (speed of A-Boat) \n" ); document.write( "3x = 30 kph (speed of B-Boat) \n" ); document.write( "========================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |