document.write( "Question 1132154: A car travels 600 km at an average speed of x km/h. If the car travels at a speed of (x-5) km/h, the journey would have taken 30 minutes longer. Form an equation in x and show that it reduces to x2-5x=6000. Solve this equation and find the time taken when the car travels at a speed of x km/h.\r
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\n" ); document.write( "\n" ); document.write( "x2 is x squared
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Algebra.Com's Answer #749085 by josgarithmetic(39618)\"\" \"About 
You can put this solution on YOUR website!
Thirty minutes is half-hour.
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document.write( "            SPEED         TIME        DISTANCE\r\n" );
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document.write( "As Done       x           600/x       600\r\n" );
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document.write( "If           x-5         600/(x-5)    600\r\n" );
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document.write( "Difference               1/2\r\n" );
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\n" ); document.write( "\n" ); document.write( "The starting equation is \"600%2F%28x-5%29-600%2Fx=1%2F2\"\r
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\n" ); document.write( "\n" ); document.write( "STEPS:\r
\n" ); document.write( "\n" ); document.write( "\"1200%2F%28x-5%29-1200%2Fx=1\"\r
\n" ); document.write( "\n" ); document.write( "\"1200x-1200x%2B6000=x%5E2-5x\"\r
\n" ); document.write( "\n" ); document.write( "\"6000=x%5E2-5x\"\r
\n" ); document.write( "\n" ); document.write( "Simplification should give \"highlight_green%28x%5E2-5x-6000=0%29\"\r
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\n" ); document.write( "\n" ); document.write( "Discriminant, \"5%5E2%2B4%2A6000=24025=155%5E2\"\r
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\n" ); document.write( "\n" ); document.write( "\"highlight_green%28x=%285%2B155%29%2F2%29\"\r
\n" ); document.write( "\n" ); document.write( "80 kilometers per hour
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