document.write( "Question 390348: The word problem is:
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document.write( "Boats A and B leave the same point at the same time at right angles. B travels 7 km/h slower than A. After 4 hours they are 68 km apart. Find the speed of each boat.\r
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document.write( "That is exactly how it is written in the book and I can't figure it out. Can you please help me? If so thank you. \n" );
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Algebra.Com's Answer #276865 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Boats A and B leave the same point at the same time at right angles. \n" ); document.write( " B travels 7 km/h slower than A. After 4 hours they are 68 km apart. Find the speed of each boat. \n" ); document.write( ": \n" ); document.write( "Let x = boat A's speed \n" ); document.write( "then \n" ); document.write( "(x-7) = boat B's speed \n" ); document.write( ": \n" ); document.write( "Dist = speed times time \n" ); document.write( "A's dist: 4x \n" ); document.write( "B's dist: 4(x-7) = (4x-28) \n" ); document.write( ": \n" ); document.write( "(4x)^2 + (4x-28)^2 = 68^2 \n" ); document.write( "16x^2 + 16x^2 - 224x + 784 = 4624 \n" ); document.write( "32x^2 - 224x - 3840 = 0 \n" ); document.write( "Simplify, divide by 32 \n" ); document.write( "x^2 - 7x - 120 = 0 \n" ); document.write( "Factors to \n" ); document.write( "(x-15(x+9) \n" ); document.write( "positive solution \n" ); document.write( "x = 15 is boat A's speed \n" ); document.write( "you can find boat b's speed \n" ); document.write( " |