document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=427172>Question 427172</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am having trouble comming up with an an equation to solve the following problem. Please help.\r<BR>\n" );
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document.write( "In a certain number of hours a man traveled 36 Km. If he had travelled 1.5 Km/h faster, it would have taken 3 hours less to make the journey How many kiometers did he travel per hour. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #297078 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=297078\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I am having trouble comming up with an an equation to solve the following problem. Please help. <BR>\n" );
document.write( "In a certain number of hours a man traveled 36 Km. If he had travelled 1.5 Km/h faster, it would have taken 3 hours less to make the journey How many kilometers did he travel per hour.\r<BR>\n" );
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document.write( "let x=initial speed<BR>\n" );
document.write( "x+1.5=if speed<BR>\n" );
document.write( "travel time=distance/speed<BR>\n" );
document.write( "initial travel time=36/x<BR>\n" );
document.write( "if travel time=36/x+1.5<BR>\n" );
document.write( "difference in travel times=3=initial-if travel times<BR>\n" );
document.write( "3=36/x-36/x+1.5<BR>\n" );
document.write( "LCD=x(x+1.5)<BR>\n" );
document.write( "36(x+1.5)-36x=3x(x+1.5)<BR>\n" );
document.write( "36x+54-36x=3x^2+4.5x<BR>\n" );
document.write( "54=3x^2+4.5x <BR>\n" );
document.write( "3x^2+4.5x-54=0<BR>\n" );
document.write( "x^2+1.5x-18=0<BR>\n" );
document.write( "solve by following quadratic equation:\r<BR>\n" );
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document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "a=1, b=1.5, c=-18\r<BR>\n" );
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document.write( "x=[-1.5+-sqrt(1.5^2-4*1*-18)]/2\r<BR>\n" );
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document.write( " x =[-1.5+-sqrt(75)]/2=(1.5+-8.66)/2=5.08 or -3.58(reject)\r<BR>\n" );
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document.write( "during initial journey he traveled 5.08 kilometers/hr </SPAN>\n" );
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