document.write( "Question 763171: Two cars leave the lot at the same time.
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document.write( "One travels WEST at 45 mph.
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document.write( "The other travels SOUTH at 55 mph.
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document.write( "How long until they are 150 miles apart? \n" );
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Algebra.Com's Answer #464583 by ramkikk66(644)![]() ![]() ![]() You can put this solution on YOUR website! Let the distance between them be 150 after x hours.\r \n" ); document.write( "\n" ); document.write( "In x hours, car travelling west covers 45*x miles \n" ); document.write( "In x hours, car travelling south covers 55*x miles\r \n" ); document.write( "\n" ); document.write( "Since they are travelling west and south which are perpendicular to each other, \n" ); document.write( "the paths of the 2 cars and the distance between them, form a right triangle.\r \n" ); document.write( "\n" ); document.write( "Two sides are 45*x an 55*x, and the hypotenuse is 150 miles.\r \n" ); document.write( "\n" ); document.write( "Applying Pythagoras theorem,\r \n" ); document.write( "\n" ); document.write( "(45*x)^2 + (55*x)^2 = 150^2\r \n" ); document.write( "\n" ); document.write( "5050*x^2 = 22500\r \n" ); document.write( "\n" ); document.write( "x^2 = 22500/5050 = 4.4554\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( ":) \n" ); document.write( " |