document.write( "Question 387257: A car traveled 3276 mi at a certain speed. If the speed had been 13 mph faster, the trip could have been made in 6 hr less time. Find the speed. \n" ); document.write( "
Algebra.Com's Answer #273734 by mananth(16946)\"\" \"About 
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A car traveled 3276 mi at a certain speed. If the speed had been 13 mph faster, the trip could have been made in 6 hr less time. Find the speed.
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\n" ); document.write( "let original speed be x mph
\n" ); document.write( "increased speed = x+13 mph
\n" ); document.write( "..
\n" ); document.write( "time with original speed - time qith increased speed = 6
\n" ); document.write( "..
\n" ); document.write( "t=d/r
\n" ); document.write( "3276/x - 3276/(x+13)=6
\n" ); document.write( "..
\n" ); document.write( "LCD = x(x+13)
\n" ); document.write( "..
\n" ); document.write( "(3276(x+13)-3276x)/x(x+13)=6
\n" ); document.write( "..
\n" ); document.write( "multiply by x(x+13)
\n" ); document.write( "3276x+42588-3276x=6x(x+13)
\n" ); document.write( "42588=6x^2+78x
\n" ); document.write( "6x^2+78x-42588=0
\n" ); document.write( "/6
\n" ); document.write( "x^2+13x-7098=0
\n" ); document.write( "x^2+91x-78x-7098=0
\n" ); document.write( "x(x+91)-78(x+91)=0
\n" ); document.write( "(x+91)(x-78)=0
\n" ); document.write( "\"%28highlight%28x=+78%29%29\" mph the speed
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\n" ); document.write( "m.ananth@hotmail.ca
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