document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=825324>Question 825324</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a man travels 200kms with a uniform speed of xkm per hour, the distance could have been covered in 2hours less had the speed been (x+5)km per hour.Calculate the value of x.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #497216 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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/cgi-bin/show-face.mpl?user=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=497216\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a man travels 200kms with a uniform speed of xkm per hour, the distance could have been covered in 2hours less had the speed been (x+5)km per hour.<BR>\n" );
document.write( "Calculate the value of x.<BR>\n" );
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document.write( "Write time equation; time = dist/speed<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=200%2Fx ALIGN=MIDDLE  ALT=\"200%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=200%2F%28%28x%2B5%29%29 ALIGN=MIDDLE  ALT=\"200%2F%28%28x%2B5%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 2<BR>\n" );
document.write( "multip0ly by x(x+5), cancel the denominators<BR>\n" );
document.write( "200(x+5) - 200x = 2x(x+5)<BR>\n" );
document.write( "200x + 1000 - 200x = 2x^2 + 10x<BR>\n" );
document.write( "Combine on the right to form a quadratic equation<BR>\n" );
document.write( "0 = 2x^2 + 10x - 1000 <BR>\n" );
document.write( "simplify, divide by 2<BR>\n" );
document.write( "x^2 + 5x - 500 = 0<BR>\n" );
document.write( "factors to<BR>\n" );
document.write( "(x+25)(x-20) = 0<BR>\n" );
document.write( "positive solution<BR>\n" );
document.write( "x = 20<BR>\n" );
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document.write( "Check this by finding the times<BR>\n" );
document.write( "200/20 = 10 hrs<BR>\n" );
document.write( "200/25 = 8 hrs<BR>\n" );
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