document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=667749>Question 667749</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A motorist starts from city A at 2:00 P.M. and travels to city B at an average speed of 30 miles/hour. After resting at B for one hour, he returns over the same route at an average speed of 40 miles/hour and arrives at A  that evening at 6:30 P.M. Determine the distance between A and B. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #415286 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=415286\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A motorist starts from city A at 2:00 P.M. and travels to city B at an average speed of 30 miles/hour.<BR>\n" );
document.write( " After resting at B for one hour, he returns over the same route at an average<BR>\n" );
document.write( " speed of 40 miles/hour and arrives at A that evening at 6:30 P.M.<BR>\n" );
document.write( " Determine the distance between A and B.<BR>\n" );
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document.write( "let d = distance from A to B<BR>\n" );
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document.write( "From the information given, we know the total time from 2:00 to 6:30 = 4.5 hrs<BR>\n" );
document.write( "However, the total travel time was 1 hr less; 3.5 hrs<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 = 3.5 hrs<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2F30 ALIGN=MIDDLE  ALT=\"d%2F30\"   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;\" > = 3.5<BR>\n" );
document.write( "multiply by 120, to clear the denominators, results:<BR>\n" );
document.write( "4d + 3d = 120(3.5)<BR>\n" );
document.write( "7d = 420<BR>\n" );
document.write( "d = 420/7<BR>\n" );
document.write( "d = 60 mi from A to B<BR>\n" );
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document.write( "Confirm this by finding the time each way<BR>\n" );
document.write( "60/30 = 2 hrs<BR>\n" );
document.write( "60/40 = 1.5 hrs<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "total time 3.5 hrs </SPAN>\n" );
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