document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=92408>Question 92408</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Could you please show me how to set up and answer this question:<BR>\n" );
document.write( "  Jose takes the same amount of time to walk 3 miles as it takes Carlos to ride his bike 5 miles.  If Carlos travels 5 miles per hour faster than Jose, what is Carlos' speed?\r<BR>\n" );
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document.write( "Thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #67252 by </B><A HREF=/tutors/aboutme.mpl?userid=mathispowerful><B>mathispowerful(115)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mathispowerful><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=67252\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Could you please show me how to set up and answer this question:<BR>\n" );
document.write( "Jose takes the same amount of time to walk 3 miles as it takes Carlos to ride his bike 5 miles. If Carlos travels 5 miles per hour faster than Jose, what is Carlos' speed? \r<BR>\n" );
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document.write( "The key to set up the equation is to find the quantities that equal each other.\r<BR>\n" );
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document.write( "in this case: they use the same time.\r<BR>\n" );
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document.write( "How to represent time? \r<BR>\n" );
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document.write( "time =  distance divided by speed.\r<BR>\n" );
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document.write( "so we need to do division and let them equal.\r<BR>\n" );
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document.write( "Here is the solution\r<BR>\n" );
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document.write( "Let  Jose's speed be  x<BR>\n" );
document.write( "Carlos' speed          x + 5 \r<BR>\n" );
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document.write( "then  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2Fx+=+5%2F%28x%2B5%29 ALIGN=MIDDLE  ALT=\"3%2Fx+=+5%2F%28x%2B5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "this is a proportion, so we do cross multiplication\r<BR>\n" );
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document.write( "3(x+5) = 5x\r<BR>\n" );
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document.write( "expand it:  3x + 15 = 5x\r<BR>\n" );
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document.write( "solve it, we get x =7.5\r<BR>\n" );
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document.write( "but x is Jose's speed, for Carlos\r<BR>\n" );
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document.write( "x+5 = 7.5+5 = 12.5 mph </SPAN>\n" );
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