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)![]() ![]() You can put this solution on YOUR website! 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( "... \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( " \n" ); document.write( "... \n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( " |