document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=233728>Question 233728</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If I were to increase the length of my stride by one inch, it would take me 60 fewer strides to cover a mile. What was the length of my original stride? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #172474 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=172474\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  If I were to increase the length of my stride by one inch, it would take me 60 fewer strides to cover a mile. What was the length of my original stride?<BR>\n" );
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document.write( "Let lenght of original stride be x inches.<BR>\n" );
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document.write( "Original number of stides required: (5280*12)/x<BR>\n" );
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document.write( "New number of strided required: (5280*12)/(x+1)<BR>\n" );
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document.write( "Equation:<BR>\n" );
document.write( "old number - New number = 60<BR>\n" );
document.write( "(5280*12)/x - (5280*12)/(x+1) = 60<BR>\n" );
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document.write( "Divide both sides by 12 to get:<BR>\n" );
document.write( "5280/x - 5280/(x+1) = 5<BR>\n" );
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document.write( "Divide thru by 5280 to get:<BR>\n" );
document.write( "1/x - 1/(x+1) = 5/5280<BR>\n" );
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document.write( "(x+1-x)/(x(x+1)) = 1/1056<BR>\n" );
document.write( "(1/(x(x+1)) = 1/1056<BR>\n" );
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document.write( "x^2 + x- 1056 = 0<BR>\n" );
document.write( "Factor: (x-32)(x+33) = 0<BR>\n" );
document.write( "Positive solution:<BR>\n" );
document.write( "x = 32 inches (his original stride length)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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