document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=929217>Question 929217</A>: <I><SPAN STYLE=\"word-break: break-all;\"> during the first part of a trip a canoeist travels 24 miles at a certain speed. The canoeist travels 7 miles on the second part of the trip at a speed 5 miles per hour slower. The total time for the trip is 3 hours . What was the speed for each part of the trip? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #564176 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=564176\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x = speed first part<BR>\n" );
document.write( "y = speed second part = x - 5<BR>\n" );
document.write( "---<BR>\n" );
document.write( "s = d/t<BR>\n" );
document.write( "t = d/s<BR>\n" );
document.write( "---<BR>\n" );
document.write( "first part:<BR>\n" );
document.write( "a = 24/x<BR>\n" );
document.write( "---<BR>\n" );
document.write( "second part:<BR>\n" );
document.write( "t = 7/y<BR>\n" );
document.write( "b = 7/(x - 5)<BR>\n" );
document.write( "---<BR>\n" );
document.write( "a + b = 3<BR>\n" );
document.write( "24/x + 7/(x - 5) = 3<BR>\n" );
document.write( "24(x - 5)/x(x - 5) + 7x/x(x - 5) = 3<BR>\n" );
document.write( "24(x - 5) + 7x = 3x(x - 5)<BR>\n" );
document.write( "24x - 5*24 + 7x = 3xx - 15x<BR>\n" );
document.write( "24x - 120 + 7x = 3xx - 15x<BR>\n" );
document.write( "3xx - 15x - 24x - 7x + 120 = 0<BR>\n" );
document.write( "3xx - 46x + 120 = 0<BR>\n" );
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document.write( "the above quadratic equation is in standard form, with a=3, b=-46 and c=120<BR>\n" );
document.write( "---<BR>\n" );
document.write( "to solve the quadratic equation, by using the quadratic formula, copy and paste this:<BR>\n" );
document.write( "3 -46 120<BR>\n" );
document.write( "into this solver: https://sooeet.com/math/quadratic-equation-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "the quadratic has two real roots at:<BR>\n" );
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document.write( "x = 12<BR>\n" );
document.write( "x = 3.33333333<BR>\n" );
document.write( "---<BR>\n" );
document.write( "the root x=3.333 doesn't fit the problem statement, because (y=3.333 - 5) and y becomes negative, so use the root x=12:<BR>\n" );
document.write( "---<BR>\n" );
document.write( "x = 12<BR>\n" );
document.write( "y = x - 5<BR>\n" );
document.write( "y = 12 - 5<BR>\n" );
document.write( "y = 7<BR>\n" );
document.write( "---<BR>\n" );
document.write( "answer:<BR>\n" );
document.write( "x = speed first part = 12 mph<BR>\n" );
document.write( "y = speed second part = 7 mph<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve and graph linear equations:<BR>\n" );
document.write( "https://sooeet.com/math/linear-equation-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve quadratic equations, quadratic formula:<BR>\n" );
document.write( "https://sooeet.com/math/quadratic-formula-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve systems of linear equations up to 6-equations 6-variables:<BR>\n" );
document.write( "https://sooeet.com/math/system-of-linear-equations-solver.php </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );