document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=485927>Question 485927</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Davin and Iris decided to run at a heart-shaped track with a perimeter of 1600 meters. They start at the same point and run in opposite directions. If the ratio of Davin's speed to Iris's speed is 3:2 and they meet again after 8 minutes, how fast is Davin in meters per minute? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #332312 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=332312\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Davin and Iris decided to run at a heart-shaped track with a perimeter of 1600 meters.<BR>\n" );
document.write( " They start at the same point and run in opposite directions.<BR>\n" );
document.write( " If the ratio of Davin's speed to Iris's speed is 3:2 and they meet again after 8 minutes, how fast is Davin in meters per minute?<BR>\n" );
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document.write( "let D = Devin's speed in met/min<BR>\n" );
document.write( "let I = Iris's speed<BR>\n" );
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document.write( "When they meet they will have run a total of 1600 meters<BR>\n" );
document.write( "Write a distance equation, dist = time * speed<BR>\n" );
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document.write( "D's dist + I's dist = 1600<BR>\n" );
document.write( "8D + 8I = 1600<BR>\n" );
document.write( "simplify, divide by 8<BR>\n" );
document.write( "D + I = 200<BR>\n" );
document.write( "I = (200-D); we can use this form for substitution<BR>\n" );
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document.write( "It says,\"the ratio of Davin's speed to Iris's speed is 3:2 \"<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D%2FI ALIGN=MIDDLE  ALT=\"D%2FI\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F2 ALIGN=MIDDLE  ALT=\"3%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "substitute (200-D) for I<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D%2F%28200-D%29 ALIGN=MIDDLE  ALT=\"D%2F%28200-D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F2 ALIGN=MIDDLE  ALT=\"3%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Cross multiply<BR>\n" );
document.write( "2D = 3(200-D)<BR>\n" );
document.write( "2D = 600 - 3D<BR>\n" );
document.write( "2D + 3D = 600<BR>\n" );
document.write( "D = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=600%2F5 ALIGN=MIDDLE  ALT=\"600%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "D = 120 met/min is Devin's speed<BR>\n" );
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document.write( "Check solution by finding the dist each runs (I's speed: 200-120 = 80 met/min)<BR>\n" );
document.write( "8(120) = 960<BR>\n" );
document.write( "8(80)  = 640<BR>\n" );
document.write( "--------------<BR>\n" );
document.write( "totals: 1600 m, confirms our solution\r<BR>\n" );
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document.write( " </SPAN>\n" );
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