document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=996027>Question 996027</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Mark made a business trip of <BR>\n" );
document.write( "247.5 miles.  He averaged <BR>\n" );
document.write( "51 mph for the first part of the trip and <BR>\n" );
document.write( "60 mph for the second part.  If the trip took <BR>\n" );
document.write( "4.5 hours, how long did he travel at each rate?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #614646 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=614646\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  Mark made a business trip of 247.5 miles.<BR>\n" );
document.write( " He averaged 51 mph for the first part of the trip and<BR>\n" );
document.write( " 60 mph for the second part.<BR>\n" );
document.write( " If the trip took 4.5 hours, how long did he travel at each rate?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "let d = distance traveled at 51 mph<BR>\n" );
document.write( "the total distance is 247.5 mi therefore:<BR>\n" );
document.write( "(247.5-d) = distance traveled at 60 mph<BR>\n" );
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document.write( "Write a time equation; time = dist/speed<BR>\n" );
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document.write( "51mph time + 60 mph time = 4.5 hrs<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2F51 ALIGN=MIDDLE  ALT=\"d%2F51\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28247.5-d%29%2F60 ALIGN=MIDDLE  ALT=\"%28247.5-d%29%2F60\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 4.5<BR>\n" );
document.write( "Least common factor of 51 and 60 is 1020, multiply equation by 1020<BR>\n" );
document.write( "1020*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2F51 ALIGN=MIDDLE  ALT=\"d%2F51\"   DISABLED_style= \"max-width:90%; height:auto;\" > + 1020*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28247.5-d%29%2F60 ALIGN=MIDDLE  ALT=\"%28247.5-d%29%2F60\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1020(4.5)<BR>\n" );
document.write( "Cancel the denominators and we have<BR>\n" );
document.write( "20d + 17(247.5-d) = 4590<BR>\n" );
document.write( "20d + 4207.5 - 17d = 4590<BR>\n" );
document.write( "20d - 17d = 4590 - 4207.5<BR>\n" );
document.write( "3d = 382.5<BR>\n" );
document.write( "d = 382.5/3<BR>\n" );
document.write( "d = 127.5 mi at 51 mph<BR>\n" );
document.write( "then<BR>\n" );
document.write( "247.5 - 127.5 = 120 mi at 60 mph<BR>\n" );
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document.write( "Confirm this answer, find the actual time at each speed<BR>\n" );
document.write( "127.5/51 = 2.5 hrs<BR>\n" );
document.write( "120/60  = 2 hrs<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "total time 4.5 hrs<BR>\n" );
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document.write( "</TD></TR></TABLE>\n" );