document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1191727>Question 1191727</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Tom and Jerry each walk 10 km. The speed of Tom is 1.5 times that of Jerry’s speed. Tom reaches the destination 1.5hrs before Jerry. Then Jerry’s speed is equal to (in km/hr)? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #823540 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=823540\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> rate * time = distance formula for tom is 1.5 * r * (t - 1.5) = 10<BR>\n" );
document.write( "rate * time = distance formula for jerry is r * t = 10<BR>\n" );
document.write( "subtract the second equation from the first to get:<BR>\n" );
document.write( "1.5 * r * (t - 1.5) - r * t = 0<BR>\n" );
document.write( "simplify to get:<BR>\n" );
document.write( "1.5 * r * t - 1.5^2 * r - r * t = 0<BR>\n" );
document.write( "combine like terms to get:<BR>\n" );
document.write( ".5 * r * t - 1.5^2 * r = 0<BR>\n" );
document.write( "add 1.5^2 * r to both sides of the equation to get:<BR>\n" );
document.write( ".5 * r * t = 1.5^2 * r<BR>\n" );
document.write( "divide both sides of the equation by .5 * r to get:<BR>\n" );
document.write( "t = 1.5^2 * r / (.5 * r)<BR>\n" );
document.write( "simplify to get:<BR>\n" );
document.write( "t = 1.5^2 / .5 = 4.5<BR>\n" );
document.write( "substitute for t in r * t = 10 to get:<BR>\n" );
document.write( "r * 4.5 = 10<BR>\n" );
document.write( "solve for r to get:<BR>\n" );
document.write( "r = 10/4.5\r<BR>\n" );
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document.write( "you have t = 4.5 and r = 10/4.5.<BR>\n" );
document.write( "replace t with 4.5 and r with 10/4.5 in both original equations to get:<BR>\n" );
document.write( "1.5 * r * (t - 1.5) = 10 becomes 1.5 * 10/4.5 * 3 = 10 which becomes 10 = 10.<BR>\n" );
document.write( "r * t = 10 becomes 10/4.5 * 4.5 = 10 which becomes 10 = 10<BR>\n" );
document.write( "this confirms the values of r and t are good.\r<BR>\n" );
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document.write( "your solution is that jerry's speed is equal to 10/4.5 kilometers per hour.<BR>\n" );
document.write( "as a decimal that's equal to 2.22222...... kilometers per hour.<BR>\n" );
document.write( "you may keep as a fraction or round the decimal equivalent as required.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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