document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=167160>Question 167160</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Roma Sherry drove 330 miles from her hometown to Tucson. During her return trip, she was able to increase her speed by 11 mph. If her return trip took 1 hour less time, find her original speed and her speed returning home. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #123305 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=123305\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Roma Sherry drove 330 miles from her hometown to Tucson. During her return trip, she was able to increase her speed by 11 mph. If her return trip took 1 hour less time, find her original speed and her speed returning home.<BR>\n" );
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document.write( "Let s = original speed<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(s+11) = return speed<BR>\n" );
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document.write( "Write a time equation: Time = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=distance%2Fspeed ALIGN=MIDDLE  ALT=\"distance%2Fspeed\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Original time = return time + 1 hr<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=330%2Fs ALIGN=MIDDLE  ALT=\"330%2Fs\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=330%2F%28%28s%2B11%29%29 ALIGN=MIDDLE  ALT=\"330%2F%28%28s%2B11%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > + 1<BR>\n" );
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document.write( "Multiply equation by s(s+11) and you have:<BR>\n" );
document.write( "330(s+11) = 330s + s(s+11)<BR>\n" );
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document.write( "330s + 3630 = 330s + s^2 + 11s<BR>\n" );
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document.write( "0 = 330s - 330s + s^2 + 11s - 3630<BR>\n" );
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document.write( "A quadratic equation:<BR>\n" );
document.write( "s^2 + 11s - 3630 = 0<BR>\n" );
document.write( "Factor this to:<BR>\n" );
document.write( "(s + 66)(s - 55) = 0<BR>\n" );
document.write( "Positive solution<BR>\n" );
document.write( "s = 55 mph is original speed.<BR>\n" );
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document.write( "Find the time<BR>\n" );
document.write( "330/55 = 6 hr, original time<BR>\n" );
document.write( "and<BR>\n" );
document.write( "330/66 = 5 hrs, faster time; confirms our solution.<BR>\n" );
document.write( ":\r<BR>\n" );
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document.write( " </SPAN>\n" );
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