document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1069779>Question 1069779</A>: <I><SPAN STYLE=\"word-break: break-all;\"> sally left point A at 6 am and reached point B at 10 am. Jane left one hour later and arrived at point B at the same time as sally. Jane traveled two miles an hour faster than sally. \r<BR>\n" );
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document.write( "    Which equation can be used to find the missing information?\r<BR>\n" );
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document.write( "  A. (Rs)(4)=(Rs-2)(3)<BR>\n" );
document.write( "  B. (Rs)(4)=(Rs)(3)<BR>\n" );
document.write( "  C. (Rs)(4)=(Rs+2)(3)<BR>\n" );
document.write( "  D. (Rj)(4)=(Rj+2)(3) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #685016 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=685016\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> rate * time = distance.\r<BR>\n" );
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document.write( "for sally, this equation becomes Rs * 4 = d<BR>\n" );
document.write( "for jane, this equation becomes Rj * 3 = d\r<BR>\n" );
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document.write( "since they are both equal to d, then they are both equal to each other and you get:\r<BR>\n" );
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document.write( "Rs * 4 = Rj * 3.\r<BR>\n" );
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document.write( "you are given that jane travels 2 miles an hour faster than sally.\r<BR>\n" );
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document.write( "this means that Rj = Rs + 2.\r<BR>\n" );
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document.write( "Rs * 4 = Rj * 3 becomes Rs * 4 = (Rs + 2) * 3\r<BR>\n" );
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document.write( "that would be selection C.\r<BR>\n" );
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document.write( "we would solve for Rs as follows:\r<BR>\n" );
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document.write( "start with Rs * 4 = (Rs + 2) * 3<BR>\n" );
document.write( "simplify to get Rs * 4 = Rs * 3 + 6<BR>\n" );
document.write( "solve for Rs to get Rs = 6.\r<BR>\n" );
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document.write( "since Rj is 2 miles per hour faster, then Rj = 8.\r<BR>\n" );
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document.write( "since you know the two rates, you can now calculate the distance.\r<BR>\n" );
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document.write( "Rs * 4 = d becomes 6 * 4 = d which gets you d = 24 miles.\r<BR>\n" );
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document.write( "Rj * 3 = d becomes 8 * 3 = d which gets you d = 24 miles.\r<BR>\n" );
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document.write( "the distance is 24 miles.\r<BR>\n" );
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document.write( "it takes sally 4 hours to travel that distance at 6 miles per hour.\r<BR>\n" );
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document.write( "it takes jane 3 hours to travel that distance at 8 miles per hour.\r<BR>\n" );
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document.write( "8 miles an hour is 2 miles an hour faster than 6 miles an hour.\r<BR>\n" );
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document.write( "Rj = Rs + 2 was the correct way to determine jane's rate.\r<BR>\n" );
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document.write( "once you knew that, the substitution allowed you to solve for Rs which then allowed you to solve for Rj.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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