document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=811420>Question 811420</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I previously asked this same question but the person who answer'd did not make sense, So i'm asking again but please explain clearly.\r<BR>\n" );
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document.write( "my question is, Isabella rode her bike at a constant speed, she took 2 hours to travel 216km with the wind behind her. The return trip took her 3hours to ride into the wind.\r<BR>\n" );
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document.write( "A) Let s represent the speed of the motorcycle and w respresent the speed of the wind. Write a linear system to represent this situation.\r<BR>\n" );
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document.write( "B)Find the speed of the motorcycle and the speed of the wind.\r<BR>\n" );
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document.write( "Thanks for your help. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #488819 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=488819\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Isabella rode her bike at a constant speed, she took 2 hours to travel 216km with the wind behind her.<BR>\n" );
document.write( " The return trip took her 3hours to ride into the wind.\r<BR>\n" );
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document.write( "A) Let s represent the speed of the motorcycle and w represent the speed of the wind.<BR>\n" );
document.write( " Write a linear system to represent this situation.<BR>\n" );
document.write( "A distance equation for each way; (dist = time * speed)<BR>\n" );
document.write( "2(s+w) = 216<BR>\n" );
document.write( "3(s-w) = 216<BR>\n" );
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document.write( "B)Find the speed of the motorcycle and the speed of the wind. <BR>\n" );
document.write( "Simplify both these equations, divide the 1st by 2; divide the 2nd by 3<BR>\n" );
document.write( "s + w = 108<BR>\n" );
document.write( "s - w = 72<BR>\n" );
document.write( "-------------Adding eliminates w, find s<BR>\n" );
document.write( "2s = 180<BR>\n" );
document.write( "s = 180/2<BR>\n" );
document.write( "s = 90 km/hr, must be a jet-bike!<BR>\n" );
document.write( "Find the wind<BR>\n" );
document.write( "90 + w = 108<BR>\n" );
document.write( "w = 108 - 90<BR>\n" );
document.write( "w = 18 km/hr is the wind<BR>\n" );
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document.write( "Check the solutions in the original equations<BR>\n" );
document.write( "2(90+18) = 216<BR>\n" );
document.write( "and<BR>\n" );
document.write( "3(90-18) = 216<BR>\n" );
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document.write( "Did this make sense to you?\r<BR>\n" );
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document.write( " </SPAN>\n" );
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