document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=815344>Question 815344</A>: <I><SPAN STYLE=\"word-break: break-all;\"> [ Jill goes to work on a commuter train and travels 25 miles.  She rides the train back home the same 25 miles.  It takes an hour and 50 minutes round trip.  The train ride home is 5 mph faster than the one taken to work.  How fast are the trains going each way? ] </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #490902 by </B><A HREF=/tutors/aboutme.mpl?userid=TimothyLamb><B>TimothyLamb(4379)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=TimothyLamb><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=TimothyLamb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=490902\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> d = 25 miles<BR>\n" );
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document.write( "w = going to work time<BR>\n" );
document.write( "h = coming home time<BR>\n" );
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document.write( "w + h = 60 + 50 = 110 minutes = 1.833333 hours<BR>\n" );
document.write( "w = 1.833333 - h<BR>\n" );
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document.write( "s = d / t<BR>\n" );
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document.write( "speeds:<BR>\n" );
document.write( "25/h = 25/w + 5<BR>\n" );
document.write( "25/h - 25/w = 5<BR>\n" );
document.write( "25w/hw - 25h/hw = 5<BR>\n" );
document.write( "(25w - 25h)/hw = 5<BR>\n" );
document.write( "25w - 25h = 5hw<BR>\n" );
document.write( "25(1.833333 - h) - 25h = 5h(1.833333 - h)<BR>\n" );
document.write( "45.833333 - 50h = 9.166666h - 5hh<BR>\n" );
document.write( "5hh - 59.166666h + 45.833333 = 0<BR>\n" );
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document.write( "the above quadratic equation is in standard form, with a=5, b=-59.166666, and c=45.833333<BR>\n" );
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document.write( "to solve the quadratic equation, plug this:<BR>\n" );
document.write( "5 -59.166666 45.833333<BR>\n" );
document.write( "into this: https://sooeet.com/math/quadratic-equation-solver.php<BR>\n" );
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document.write( "the roots of the quadratic are:<BR>\n" );
document.write( "10.999999<BR>\n" );
document.write( "0.833333<BR>\n" );
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document.write( "since we know that w + h = 1.833333 hours, only the second root (0.833333) makes sense as the value of h:<BR>\n" );
document.write( "h = 0.833333 hours<BR>\n" );
document.write( "w = 1.833333 - 0.833333 hours = 1 hour<BR>\n" );
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document.write( "Answer:<BR>\n" );
document.write( "going to work speed = 25/1 = 25 mph<BR>\n" );
document.write( "coming home speed = 25/0.833333 = 30 mph<BR>\n" );
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document.write( "Solve and graph linear equations:<BR>\n" );
document.write( "https://sooeet.com/math/linear-equation-solver.php<BR>\n" );
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document.write( "Solve quadratic equations, quadratic formula:<BR>\n" );
document.write( "https://sooeet.com/math/quadratic-formula-solver.php<BR>\n" );
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document.write( "Convert fractions, decimals, and percents:<BR>\n" );
document.write( "https://sooeet.com/math/fraction-decimal-percent.php<BR>\n" );
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document.write( "Calculate and graph the linear regression of any data set:<BR>\n" );
document.write( "https://sooeet.com/math/linear-regression.php </SPAN>\n" );
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