document.write( "Question 282326: Each day, Amit runs nine miles and then walks one mile. He runs 10 mph faster than he walks. If his total time is 75 minutes, then what is Amit's running speed? \n" ); document.write( "
Algebra.Com's Answer #204984 by mananth(16946)\"\" \"About 
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Each day, Amit runs nine miles and then walks one mile. He runs 10 mph faster than he walks. If his total time is 75 minutes, then what is Amit's running speed? \r
\n" ); document.write( "\n" ); document.write( "let him walk at x mph\r
\n" ); document.write( "\n" ); document.write( "he runs x+10 mph\r
\n" ); document.write( "\n" ); document.write( "time taken for running = 9/x+10\r
\n" ); document.write( "\n" ); document.write( "time he walks = 1/x\r
\n" ); document.write( "\n" ); document.write( "1/x+ 9/ x+10= 5/4 hours \r
\n" ); document.write( "\n" ); document.write( "x+10 +9x / x(x+10) = 5/4\r
\n" ); document.write( "\n" ); document.write( "10x+10= 5x(x+10) / 4\r
\n" ); document.write( "\n" ); document.write( "10x+10 = 5x^2 +50x /4\r
\n" ); document.write( "\n" ); document.write( "40x+40 = 5x^2 +50x\r
\n" ); document.write( "\n" ); document.write( "5x^2-10x-40=0\r
\n" ); document.write( "\n" ); document.write( "x^2-2x-8=0\r
\n" ); document.write( "\n" ); document.write( "x^2-4x +2x-8=0\r
\n" ); document.write( "\n" ); document.write( "x(x-4)+2(x-4)=0
\n" ); document.write( "(x+2)(x-4)=0\r
\n" ); document.write( "\n" ); document.write( "So x =4 mph walking speed\r
\n" ); document.write( "\n" ); document.write( "Running speed will be x+10 = 4+10 = 14 mph\r
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