document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=387898>Question 387898</A>: <I><SPAN STYLE=\"word-break: break-all;\"> B is due east of A. if they walk directly toward each other, they meet with each other after 2 hour.if they both walk east at constant speed, A will catch up to B after 10 hour. if they both walk west at constant speed, A will walk 30 km before B reaches A's home.<BR>\n" );
document.write( "=>What is the distance between A and B's home?<BR>\n" );
document.write( "=>What is each of their speed? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #274250 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=274250\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> B is due east of A. if they walk directly toward each other, they meet with each other after 2 hour.if they both walk east at constant speed, A will catch up to B after 10 hour. if they both walk west at constant speed, A will walk 30 km before B reaches A's home.<BR>\n" );
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document.write( "=>What is the distance between A and B's home?<BR>\n" );
document.write( "Let d = distance from A to B<BR>\n" );
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document.write( "Let a = A's speed<BR>\n" );
document.write( "Let b = B's speed<BR>\n" );
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document.write( "\"if they walk directly toward each other, they meet with each other after 2 hour.\"<BR>\n" );
document.write( "Write a distance equation from this statement:<BR>\n" );
document.write( "d = 2a + 2b<BR>\n" );
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document.write( "\"if they both walk east at constant speed, A will catch up to B after 10 hour.\"<BR>\n" );
document.write( "Write a distance equation<BR>\n" );
document.write( "10a - d = 10b<BR>\n" );
document.write( "Replace d with (2a+2b)<BR>\n" );
document.write( "10a -(2a+2b) = 10b<BR>\n" );
document.write( "10a - 2a - 2b = 10b<BR>\n" );
document.write( "10a - 2a = 10b + 2b<BR>\n" );
document.write( "8a = 12b<BR>\n" );
document.write( "Simplify, divide by 4<BR>\n" );
document.write( "2a = 3b<BR>\n" );
document.write( "a = 1.5b<BR>\n" );
document.write( ":<BR>\n" );
document.write( "\"if they both walk west at constant speed, A will walk 30 km before B reaches A's home.<BR>\n" );
document.write( "Write a time equation: Time = dist/speed<BR>\n" );
document.write( "A's time = B's time<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30%2Fa ALIGN=MIDDLE  ALT=\"30%2Fa\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2Fb ALIGN=MIDDLE  ALT=\"d%2Fb\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Replace a with 1.5b<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30%2F1.5b ALIGN=MIDDLE  ALT=\"30%2F1.5b\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2Fb ALIGN=MIDDLE  ALT=\"d%2Fb\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Cancel 1.5 into 30<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20%2Fb ALIGN=MIDDLE  ALT=\"20%2Fb\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2Fb ALIGN=MIDDLE  ALT=\"d%2Fb\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply both sides by b<BR>\n" );
document.write( "20 = d<BR>\n" );
document.write( "d = 20 km is the distance between A & B<BR>\n" );
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document.write( "=>What is each of their speed?<BR>\n" );
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document.write( "2a + 2b = 20<BR>\n" );
document.write( "Simplify divide by 2<BR>\n" );
document.write( "a + b = 10<BR>\n" );
document.write( "Replace a with 1.5b<BR>\n" );
document.write( "1.5b + b = 10<BR>\n" );
document.write( "2.5b = 10<BR>\n" );
document.write( "b = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2F2.5 ALIGN=MIDDLE  ALT=\"10%2F2.5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "b = 4 km/hr is B's speed<BR>\n" );
document.write( "then<BR>\n" );
document.write( "a = 1.5(4) = 6 km/hr is A's speed<BR>\n" );
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document.write( "  </SPAN>\n" );
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