document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=198883>Question 198883</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A man travels from Town x to town y at an average rate of 50mph and returns at an average rate of 40pmh.  he takes 1/2 hour longer than he would take if he made the round trip at an average of 45 mph.  What is the distance from town x to town y. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #149376 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=149376\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A man travels from Town x to town y at an average rate of 50mph and returns at<BR>\n" );
document.write( " an average rate of 40pmh. he takes 1/2 hour longer than he would take if he<BR>\n" );
document.write( " made the round trip at an average of 45 mph. What is the distance from town x to town y.<BR>\n" );
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document.write( "Let d = dist of town x to town y<BR>\n" );
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document.write( "Write a time equation: Time = dist/speed<BR>\n" );
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document.write( "To time + return time = 45 mph time + 1/2 hr<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2F50 ALIGN=MIDDLE  ALT=\"d%2F50\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2F40 ALIGN=MIDDLE  ALT=\"d%2F40\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282d%29%2F45 ALIGN=MIDDLE  ALT=\"%282d%29%2F45\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F2 ALIGN=MIDDLE  ALT=\"1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Multiply equation by 1800:<BR>\n" );
document.write( "1800*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2F50 ALIGN=MIDDLE  ALT=\"d%2F50\"   DISABLED_style= \"max-width:90%; height:auto;\" > + 1800*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2F40 ALIGN=MIDDLE  ALT=\"d%2F40\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1800*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282d%29%2F45 ALIGN=MIDDLE  ALT=\"%282d%29%2F45\"   DISABLED_style= \"max-width:90%; height:auto;\" > + 1800*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F2 ALIGN=MIDDLE  ALT=\"1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Cancel the denominators, results:<BR>\n" );
document.write( "36d + 45d = 40(2d) + 900<BR>\n" );
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document.write( "81d = 80d + 900<BR>\n" );
document.write( "81d - 80d = 900<BR>\n" );
document.write( "d = 900 mi from town x to town y<BR>\n" );
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document.write( "The solution in original time equation (round trip = 1800 mi)<BR>\n" );
document.write( "900/50 + 900/40 = 1800/45 + 1/2<BR>\n" );
document.write( "18 + 22.5 = 40 + .5 </SPAN>\n" );
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