document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=316841>Question 316841</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Olivia lives thirty-two miles from work. This morning, she left for work at 8:43 a.m. There was construction for the first twenty miles, so Olivia only drove at an average speed of seventeen mph around the construction area. If Olivia needs to be at work by 10:11 a.m., what should be her average speed for the rest of the way to work? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #226974 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=226974\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Olivia lives thirty-two miles from work. <BR>\n" );
document.write( "This morning, she left for work at 8:43 a.m.<BR>\n" );
document.write( " There was construction for the first twenty miles, so Olivia only drove at an <BR>\n" );
document.write( "average speed of seventeen mph around the construction area.<BR>\n" );
document.write( " If Olivia needs to be at work by 10:11 a.m., what should be her average speed<BR>\n" );
document.write( " for the rest of the way to work?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Summarize what we know about this<BR>\n" );
document.write( "1st 20 mi, 17 mph<BR>\n" );
document.write( "last 12 mi, drove at a higher speed (s)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "total time to make the trip: 10:11 - 8:43 = 1:28 min or 1.47 hrs<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Write a time equation: time = dist/speed<BR>\n" );
document.write( "slow time + fast time = total time<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20%2F17 ALIGN=MIDDLE  ALT=\"20%2F17\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%2Fs ALIGN=MIDDLE  ALT=\"12%2Fs\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1.47<BR>\n" );
document.write( "multiply by 17s, results<BR>\n" );
document.write( "20s + 17(12) = 17s(1.47}<BR>\n" );
document.write( "20s + 204 = 24.99s<BR>\n" );
document.write( "204 = 24.99s - 20s<BR>\n" );
document.write( "204 = 4.99s<BR>\n" );
document.write( "s = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=204%2F4.99 ALIGN=MIDDLE  ALT=\"204%2F4.99\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "s = 40.88 ~ 41 mph speed on the last 12 mi<BR>\n" );
document.write( ":<BR>\n" );
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document.write( "See if that's true, find the times<BR>\n" );
document.write( "20/17 = 1.1765 hrs<BR>\n" );
document.write( "12/41 = .29 hrs<BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "total: 1.469 ~ 1.47 hrs<BR>\n" );
document.write( " </SPAN>\n" );
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