document.write( "Question 720636: A car travels a distance of 9000 KM with a certain average speed. If after travelling half the distance the average speed of the car be increased by 15 Km/Hrs., the time required to travel 900 Km, is reduces by 11/2 hour, find the original average speed of the car. \n" ); document.write( "
Algebra.Com's Answer #441913 by mananth(16946)\"\" \"About 
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\n" ); document.write( "\n" ); document.write( "Time = distance /speed\r
\n" ); document.write( "\n" ); document.write( "original speed = x\r
\n" ); document.write( "\n" ); document.write( "\"450%2Fx+%2B450%2F%28x%2B15%29=+%28900%2Fx%29-+3%2F2\"\r
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\n" ); document.write( "\n" ); document.write( "\"450%2F%28x%2B15%29-450%2Fx+=-3%2F2\"\r
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\n" ); document.write( "\n" ); document.write( "450x-450(x+15) = (-3/2) ( x*(x+15)\r
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\n" ); document.write( "\n" ); document.write( "-6750=(-3/2)(x^2+15x)\r
\n" ); document.write( "\n" ); document.write( "-13000=-3x^2-45x\r
\n" ); document.write( "\n" ); document.write( "3x^2+45x-13500=0\r
\n" ); document.write( "\n" ); document.write( "/3\r
\n" ); document.write( "\n" ); document.write( "x^2+15x-4500=0\r
\n" ); document.write( "\n" ); document.write( "x^2+75x-60-4500-0\r
\n" ); document.write( "\n" ); document.write( "(x+75)(x-60)=0\r
\n" ); document.write( "\n" ); document.write( "x= 60 km/h the original speed
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