document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=124875>Question 124875</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Smith bicycled 45 miles goin east from Durango and Jones bicycled 70 miles.  Jones averaged 5 miles per hou more than Smith, and his trip took on-half hour longer than Smith's. How fast was each one traveling? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #91739 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=91739\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Smith bicycled 45 miles going east from Durango and Jones bicycled 70 miles. Jones averaged 5 miles per hour more than Smith, and his trip took on-half hour longer than Smith's. How fast was each one traveling?<BR>\n" );
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document.write( "Let s = Smith's speed<BR>\n" );
document.write( "It says,\"Jones averaged 5 miles per hour more than Smith,\" therefore:<BR>\n" );
document.write( "(s+5) = Jones' 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" );
document.write( "Smiths time = Jones time - half an hour<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=45%2Fs ALIGN=MIDDLE  ALT=\"45%2Fs\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=70%2F%28%28s%2B5%29%29+-+1%2F2 ALIGN=MIDDLE  ALT=\"70%2F%28%28s%2B5%29%29+-+1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply equation by 2s(s+5) to get rid of the denominators<BR>\n" );
document.write( "2s(s+5)*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=45%2Fs ALIGN=MIDDLE  ALT=\"45%2Fs\"   DISABLED_style= \"max-width:90%; height:auto;\" > + 2s(s+5)*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=70%2F%28%28s%2B5%29%29+-+2s%28s%2B5%29%2A1%2F2 ALIGN=MIDDLE  ALT=\"70%2F%28%28s%2B5%29%29+-+2s%28s%2B5%29%2A1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Cancel out the denominators and you have:<BR>\n" );
document.write( "2(s+5)*45 = 2s*70 - s(s+5)<BR>\n" );
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document.write( "90s + 450 = 140s - s^2 - 5s<BR>\n" );
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document.write( "s^2 + 5s + 90s - 140s  + 450 = 0<BR>\n" );
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document.write( "s^2 - 45s + 450 = 0; Arranged as a quadratic equation<BR>\n" );
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document.write( "This factors to<BR>\n" );
document.write( "(s - 15) (s - 30) = 0<BR>\n" );
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document.write( "s = 15, or s = 30; <BR>\n" );
document.write( "Check and you will see that either solution will work in the original equation<BR>\n" );
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document.write( "Probably s = 15 is more reasonable\r<BR>\n" );
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document.write( " </SPAN>\n" );
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