document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=295877>Question 295877</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Translate the problem into a pair of linear equations in two variables. Solve the equations using either elimination or substitution. State your answer for both variables.\r<BR>\n" );
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document.write( "John and Tony start from the same place at the same time and head for a town 10 miles away. John walks twice as fast as Tony and arrives 3 hours before Tony. Find the speed of each. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #213286 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=213286\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> John and Tony start from the same place at the same time and head for a town 10 miles away. John walks twice as fast as Tony and arrives 3 hours before Tony. Find the speed of each.<BR>\n" );
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document.write( "Let t = Tony's time ; Let j = John's time<BR>\n" );
document.write( "Time Equation: t-j = 3<BR>\n" );
document.write( "Rate Equation: 10/j = 2(10/t)<BR>\n" );
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document.write( "Solve the Time Eq. for t: t = j+3<BR>\n" );
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document.write( "Substitute for \"t\" in the Rate Equation and solve for \"j\":<BR>\n" );
document.write( "10/j = 2(10/(j+3))<BR>\n" );
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document.write( "1/j = 2/(j+3)<BR>\n" );
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document.write( "j+3 = 2j<BR>\n" );
document.write( "j = 3 hrs (John's time)<BR>\n" );
document.write( "t = 6 hrs (Tony's time)<BR>\n" );
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document.write( "John's speed = 10/3 mph<BR>\n" );
document.write( "Tony's speed = 10/6 mph<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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document.write( " </SPAN>\n" );
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