document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=195004>Question 195004</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A man made a 70-mile trip at a certain average rate. By increasing his average rate by 5 miles per hour, he traveled 80 miles in the same time that he spent on the 70-mile trip. Find his average rate on each trip.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #146286 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=146286\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A man made a 70-mile trip at a certain average rate.<BR>\n" );
document.write( " By increasing his average rate by 5 miles per hour, he traveled 80 miles in <BR>\n" );
document.write( "the same time that he spent on the 70-mile trip. Find his average rate on each trip. <BR>\n" );
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document.write( "Let s = the original speed (70 mi trip)<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(s+5) = the speed required for the 80 mi trip<BR>\n" );
document.write( ":<BR>\n" );
document.write( "The two trips have equal time; write a time equation; Time = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dist%2Fspeed ALIGN=MIDDLE  ALT=\"dist%2Fspeed\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "80 mi time = 70 mi time<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=80%2F%28%28s%2B5%29%29 ALIGN=MIDDLE  ALT=\"80%2F%28%28s%2B5%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=70%2Fs ALIGN=MIDDLE  ALT=\"70%2Fs\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Cross multiply and you have:<BR>\n" );
document.write( "80s = 70(s+5)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "80s = 70s + 350<BR>\n" );
document.write( ":<BR>\n" );
document.write( "80s - 70s = 350<BR>\n" );
document.write( ":<BR>\n" );
document.write( "10s = 350<BR>\n" );
document.write( "s = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=350%2F10 ALIGN=MIDDLE  ALT=\"350%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "s = 35 mph original speed<BR>\n" );
document.write( "then<BR>\n" );
document.write( "35 + 5 = 40 mph is the faster speed<BR>\n" );
document.write( ";<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check solution by finding the time of each trip<BR>\n" );
document.write( "70/35 = 2 hr<BR>\n" );
document.write( "80/40 = 2 hr </SPAN>\n" );
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