document.write( "Question 544480: On a journey of 300km, the train driver calculates that if he reduces his average speed by 10km/h he would take 25 mins longer. Find his average speed \n" ); document.write( "
Algebra.Com's Answer #355120 by mananth(16946)\"\" \"About 
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Original speed x
\n" ); document.write( "Changed speed x - 10
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\n" ); document.write( "Distance = same 300 miles
\n" ); document.write( "original time – time with decreased speed =0.42
\n" ); document.write( "t=d/t \r
\n" ); document.write( "\n" ); document.write( "300/(x-10)-300/x= 5/12\r
\n" ); document.write( "\n" ); document.write( "300x-300(x-10)= 5*x(x-10)/12\r
\n" ); document.write( "\n" ); document.write( "300x-300x+3000=(5x^2-50x)/12\r
\n" ); document.write( "\n" ); document.write( "multiply by 12\r
\n" ); document.write( "\n" ); document.write( "36000=5x^2-50x
\n" ); document.write( "5x^2-50x-36000=0
\n" ); document.write( "/5
\n" ); document.write( "x*2-10x-7200=0\r
\n" ); document.write( "\n" ); document.write( "x^2-90x+80x-7200=0
\n" ); document.write( "x(x-90)+80(x-90)=0
\n" ); document.write( "(x-90)(x+80=0
\n" ); document.write( "x= 90 mph the average speed.
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