document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=196209>Question 196209</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Cabrina and Dabney are attending a conference. After the conference, Cabrina drives home to Boise at an average speed of 75 mph and Dabney drives home to Portland at an average speed of 60 mph. If the sum of their driving time is 11.3 hours and the sum of distance driven is 783 miles, determine the time each woman spent driving home.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #147269 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=147269\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Cabrina and Dabney are attending a conference. After the conference, Cabrina<BR>\n" );
document.write( " drives home to Boise at an average speed of 75 mph and Dabney drives home to<BR>\n" );
document.write( " Portland at an average speed of 60 mph. If the sum of their driving time is<BR>\n" );
document.write( " 11.3 hours and the sum of distance driven is 783 miles, <BR>\n" );
document.write( "determine the time each woman spent driving home.<BR>\n" );
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document.write( "Let t = C's driving time<BR>\n" );
document.write( "It states the sum of their times is 11.3, therefore:<BR>\n" );
document.write( "(11.3 - t) = D's driving time<BR>\n" );
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document.write( "The sum of their distances is given as 783 mi, write distance equation:<BR>\n" );
document.write( "Dist = speed * time<BR>\n" );
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document.write( "C's dist + D's dist = 783 mi<BR>\n" );
document.write( "75t + 60(11.3 - t) = 783<BR>\n" );
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document.write( "75t + 678 - 60t = 783<BR>\n" );
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document.write( "75t - 60t = 783 - 678<BR>\n" );
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document.write( "15t = 105<BR>\n" );
document.write( "t= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=105%2F15 ALIGN=MIDDLE  ALT=\"105%2F15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "t = 7 hrs is C's driving time<BR>\n" );
document.write( "and<BR>\n" );
document.write( "11.3 - 7 = 4.3 hrs is D's driving time<BR>\n" );
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document.write( "Check solutions by finding the sum of the distances<BR>\n" );
document.write( "75(7) + 60(4.3) = <BR>\n" );
document.write( "525 + 258 = 783, confirms our solutions </SPAN>\n" );
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