document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=262716>Question 262716</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A driver travels 12 miles to work at a constant speed and travels the same distance home also at a constant speed. His speed on the trip home is 10 miles per hour faster than the trip to work and the total time for both trips is 1 hours. Find his speed on the way to work.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #193521 by </B><A HREF=/tutors/aboutme.mpl?userid=drk><B>drk(1908)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=drk><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=193521\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This is an RTD problem. Here is a table based on the given information:<BR>\n" );
document.write( "Driver . . . . . . . .rate . . . . . . . . time . . . . . . . .distance<BR>\n" );
document.write( "work. . . . . . . . . R. . . . . . . . . . . .T. . . . . . . . . . . .12 . .<BR>\n" );
document.write( "home. . . . . . . . .R+10 . . . . . . . . 1-T. . . . . .  . .. 12. . .<BR>\n" );
document.write( "totals. . . . . . . . . . . . . . . . . . . . .1 . . . . . . . . . . . . . . <BR>\n" );
document.write( "we have the equation<BR>\n" );
document.write( "rt = d<BR>\n" );
document.write( "solve this for t and we get<BR>\n" );
document.write( "t = d/r<BR>\n" );
document.write( "From above,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=T+=+12%2FR ALIGN=MIDDLE  ALT=\"T+=+12%2FR\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1-T+=+12%2F%28R%2B10%29 ALIGN=MIDDLE  ALT=\"1-T+=+12%2F%28R%2B10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=T+=+1+-+12%2F%28R%2B10%29 ALIGN=MIDDLE  ALT=\"T+=+1+-+12%2F%28R%2B10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The sum of the times = 1 hr, so<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%2FR+%2B+1-+%281+-+12%2F%28R%2B10%29%29+=+1 ALIGN=MIDDLE  ALT=\"12%2FR+%2B+1-+%281+-+12%2F%28R%2B10%29%29+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "step 1 - multiply by the common denominator of R(R+10) to get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%28R%2B10%29+%2B+R%28R%2B10%29+-R%28R%2B10%29+%2B+12R+=+R%28R%2B10%29 ALIGN=MIDDLE  ALT=\"12%28R%2B10%29+%2B+R%28R%2B10%29+-R%28R%2B10%29+%2B+12R+=+R%28R%2B10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "step 2 - distribute to get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12R+%2B+120+%2BR%5E2+%2B+10R+-R%5E2+-10R+%2B+12R+=+R%5E2+%2B+10R ALIGN=MIDDLE  ALT=\"12R+%2B+120+%2BR%5E2+%2B+10R+-R%5E2+-10R+%2B+12R+=+R%5E2+%2B+10R\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "step 3 - combine like terms on the left to get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24R+%2B+120+=+R%5E2+%2B+10R ALIGN=MIDDLE  ALT=\"24R+%2B+120+=+R%5E2+%2B+10R\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "step  4- setting = 0, we get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R%5E2+-14R+-+120+=+0 ALIGN=MIDDLE  ALT=\"R%5E2+-14R+-+120+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "step 5 - factoring, we get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28R-20%29%28R%2B7%29+=+0 ALIGN=MIDDLE  ALT=\"%28R-20%29%28R%2B7%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "step 6 - solved for R we get<BR>\n" );
document.write( "R = 20<BR>\n" );
document.write( "or<BR>\n" );
document.write( "R = -7<BR>\n" );
document.write( "--<BR>\n" );
document.write( "So, R = 20 mpg on the way to work </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );