document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=96805>Question 96805</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/039534378X/algebrahomeworkh>Algebra 2 and Trigonometry</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> On Tuesday it took Julia Ward 2 h to drive 40 km and then make 3 round trips to a construction site. On Wednesday she drove 17 km and made 2 round trips to the site, all in 1 h. If all her driving was done at the same constant speed, what is the round-trip distance to the construction site? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #70451 by </B><A HREF=/tutors/aboutme.mpl?userid=ptaylor><B>ptaylor(2198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ptaylor><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=ptaylor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=70451\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "Let d=the round trip distance to the construction site<BR>\n" );
document.write( "And r=her constant rate of speed\r<BR>\n" );
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document.write( "Distance(d)=Rate(r) times Time(t) or d=rt; r=d/t and t=d/r\r<BR>\n" );
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document.write( "On Tuesday:\r<BR>\n" );
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document.write( "2hr=(40km+3d)/r------------------------eq1\r<BR>\n" );
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document.write( "On Wednesday:\r<BR>\n" );
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document.write( "1hr=(17km+2d)/r-----------------------eq2\r<BR>\n" );
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document.write( "Multiply both sides of each equation by r to get rid of fractions\r<BR>\n" );
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document.write( "2r=40+3d--------------------eq1<BR>\n" );
document.write( "1r=17+2d---------------------eq2\r<BR>\n" );
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document.write( "Multiply each term in eq2 by 2\r<BR>\n" );
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document.write( "2r=34+4d-------------------------eq2\r<BR>\n" );
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document.write( "Subtract eq1 from eq2\r<BR>\n" );
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document.write( "0=-6+d  add 6 to both sides\r<BR>\n" );
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document.write( "d=6 mi------------------------------round trip distance\r<BR>\n" );
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document.write( "CK<BR>\n" );
document.write( "rate=(40+18)/2=58/2=29 mph<BR>\n" );
document.write( "rate=(17+12)/1=29 mph\r<BR>\n" );
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document.write( "Hope this helps--ptaylor </SPAN>\n" );
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