document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=416345>Question 416345</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do I set up this word problem equation?<BR>\n" );
document.write( "Ruth and Jerry Mackin go for an outing in Memorial Park in Houston, Texas.  <BR>\n" );
document.write( "Ruth jogs while Jerry rollerblades.  Jerry rollerblades 2.9 miles per hour faster than Ruth jogs.  When Jerry has rollerbladed 5.7 miles, Ruth has jogged 3.4 miles.  Find Ruth's jogging 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 #291875 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=291875\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Ruth jogs while Jerry rollerblades. Jerry rollerblades 2.9 miles per hour faster than Ruth jogs.<BR>\n" );
document.write( " When Jerry has rollerbladed 5.7 miles, Ruth has jogged 3.4 miles.<BR>\n" );
document.write( " Find Ruth's jogging speed.<BR>\n" );
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document.write( "Let s = R's jogging speed<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(s+2.9) = J's rolling speed<BR>\n" );
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document.write( "Write a time equation; time = dist/speed<BR>\n" );
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document.write( "rolling time = jogging time<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5.7%2F%28s%2B2.9%29 ALIGN=MIDDLE  ALT=\"5.7%2F%28s%2B2.9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3.4%2Fs ALIGN=MIDDLE  ALT=\"3.4%2Fs\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Cross multiply<BR>\n" );
document.write( "5.7s = 3.4(s+2.9)<BR>\n" );
document.write( "5.7s = 3.4s + 9.86<BR>\n" );
document.write( "5.7s - 3.4s = 9.86<BR>\n" );
document.write( "2.3s = 9.86<BR>\n" );
document.write( "s = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9.86%2F2.3 ALIGN=MIDDLE  ALT=\"9.86%2F2.3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "s = 4.287 mph is R's jogging time <BR>\n" );
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document.write( "Check solution by finding the times (J's speed 2.9+4.287 = 7.187)<BR>\n" );
document.write( "5.7/7.187 = .793 hrs<BR>\n" );
document.write( "3.4/4.287 = .793 hrs; confirms our solution of s = 4.287 </SPAN>\n" );
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