document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=137639>Question 137639</A>: <I><SPAN STYLE=\"word-break: break-all;\"> On a round trip of 700km in each direction,Mr.anderson averaged 7km/h more returning than he did going.If the return trip took 5hours less than the trip going, find the time he spent traveling in each direction </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #100739 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=100739\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> On a round trip of 700km in each direction,Mr.anderson averaged 7km/h more returning than he did going.If the return trip took 5hours less than the trip going, find the time he spent traveling in each direction<BR>\n" );
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document.write( "From the text we can assume the trip out was 350 km and return trip was 350 km<BR>\n" );
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document.write( "Let s = speed out<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(s+7) = return speed<BR>\n" );
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document.write( "Write a time equation Time = Distance/speed<BR>\n" );
document.write( "It says it took 5 hrs less time to return<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=350%2F%28%28s%2B7%29%29 ALIGN=MIDDLE  ALT=\"350%2F%28%28s%2B7%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > - 5 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=350%2Fs ALIGN=MIDDLE  ALT=\"350%2Fs\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply equation by s(x+7) to get rid of the denominators:<BR>\n" );
document.write( "s(s+7)*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=350%2F%28%28s%2B7%29%29 ALIGN=MIDDLE  ALT=\"350%2F%28%28s%2B7%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > - 5(s(s+7)) = s(s+7)*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=350%2Fs ALIGN=MIDDLE  ALT=\"350%2Fs\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Leaving us with:<BR>\n" );
document.write( "350s + 5(s^2 + 7s) = 350(s+7)<BR>\n" );
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document.write( "350s + 5s^2 + 35s = 350s + 2450<BR>\n" );
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document.write( "Subtract 350s from both sides and arrange as a quadratic equation on the left<BR>\n" );
document.write( "5s^2 + 35s - 2450 = 0<BR>\n" );
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document.write( "Simplify, divide by 5<BR>\n" );
document.write( "s^2 + 7s - 490 = 0<BR>\n" );
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document.write( "We have to use the quadratic formula:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "a = 1; b = 7; c = -490; solve for s;<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s+=+%28-7+%2B-+sqrt%287%5E2-+4+%2A+1%2A+-490+%29%29%2F%282%2A1%29+ ALIGN=MIDDLE  ALT=\"s+=+%28-7+%2B-+sqrt%287%5E2-+4+%2A+1%2A+-490+%29%29%2F%282%2A1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s+=+%28-7+%2B-+sqrt%2849+%2B+1960%29%29%2F%282%29+ ALIGN=MIDDLE  ALT=\"s+=+%28-7+%2B-+sqrt%2849+%2B+1960%29%29%2F%282%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Do the math here and you should get a positive solution:<BR>\n" );
document.write( "s = 18.91 km/h is outbound speed<BR>\n" );
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document.write( "18.91 + 7 = 25.91 km/hr return speed <BR>\n" );
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document.write( "Find the time required for each direction:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=350%2F18.91 ALIGN=MIDDLE  ALT=\"350%2F18.91\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 18.51 hrs outbound<BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=350%2F25.91 ALIGN=MIDDLE  ALT=\"350%2F25.91\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 13.51 hrs return; note the 5 hr difference confirms our solutions\r<BR>\n" );
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document.write( " </SPAN>\n" );
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