document.write( "Question 763171: Two cars leave the lot at the same time.
\n" ); document.write( "One travels WEST at 45 mph.
\n" ); document.write( "The other travels SOUTH at 55 mph.
\n" ); document.write( "How long until they are 150 miles apart?
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Algebra.Com's Answer #464583 by ramkikk66(644)\"\" \"About 
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( "\"highlight%28x+=+2.11%29\" hours approximately\r
\n" ); document.write( "\n" ); document.write( ":)
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