document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=232346>Question 232346</A>: <I><SPAN STYLE=\"word-break: break-all;\">  Juan traavels 22mi/hr to work and 32mi/hr back home. It takes him a total of 2 hrs and 15 minutes for the total drive. I need to find an equation on how much time it takes Juan to go to work and come back home. I also need an equation for both. Thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #171733 by </B><A HREF=/tutors/aboutme.mpl?userid=ptaylor><B>ptaylor(2198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ptaylor><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=ptaylor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=171733\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> OK<BR>\n" );
document.write( "I'm not sure that I fully understand what you are looking for in terms of equations but I will give it a shot:<BR>\n" );
document.write( "Distance(d) equals Rate(r) times Time(t) or d=rt;  r=d/t and t=d/r<BR>\n" );
document.write( "Let t1=time to go to work<BR>\n" );
document.write( "And let t2=time to come back home\r<BR>\n" );
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document.write( "Now we are told that:<BR>\n" );
document.write( "t1+t2=2.25 hrs (we'll deal in hours)------------------------eq1<BR>\n" );
document.write( "We also know the following:<BR>\n" );
document.write( "Distance to work=22t1<BR>\n" );
document.write( "Distance back to home=32t2\r<BR>\n" );
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document.write( "We know that the above two distances are equal, so:<BR>\n" );
document.write( "22t1=32t2 or<BR>\n" );
document.write( "11t1=16t2---------------------eq2\r<BR>\n" );
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document.write( "Now from eq2, we see that t2=(11/16)t1 and t1=(16/11)t2;  First, substitute t2=(11/16)t1 into eq1 and we get:<BR>\n" );
document.write( "t1+(11/16)t1=2.25hr  (Note: 11/16 = 0.6875)<BR>\n" );
document.write( "t1+0.6875t1=2.25<BR>\n" );
document.write( "1.6875t1=2.25  Equation for the time it takes Juan to go to work<BR>\n" );
document.write( "Next, substitute  t1=(16/11)t2 into eq1 and we get:<BR>\n" );
document.write( "(16/11)t2+t2=2.25  (Note:16/11 = 1.455)<BR>\n" );
document.write( "t2+1.455t2=2.25<BR>\n" );
document.write( "2.455t2=2.25----equation for the time it takes Juan to get home\r<BR>\n" );
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document.write( "CK<BR>\n" );
document.write( "1.6875t1=2.25<BR>\n" );
document.write( "t1=1.33333 hours<BR>\n" );
document.write( "2.455t2=2.25<BR>\n" );
document.write( "t2=0.9165 hr<BR>\n" );
document.write( "1.33333hrs+0.9165hrs=about 2.25hrs\r<BR>\n" );
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document.write( "Hope this helps---ptaylor\r<BR>\n" );
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document.write( " </SPAN>\n" );
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