document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1178426>Question 1178426</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello there,\r<BR>\n" );
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document.write( "I've been trying to answer this question but I can't seem to arrive at the correct answer which is supposed to be 17 mph, any help would be much appreciated, thank you.\r<BR>\n" );
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document.write( "Two trains travel at right angles to each other after leaving the same train station at the same time. Two hours later they are 42.80 miles apart. If one travels 4 miles per hour slower than the other, what is the rate of the faster train? (Round your answer to the nearest integer).<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #807642 by </B><A HREF=/tutors/aboutme.mpl?userid=Solver92311><B>Solver92311(821)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Solver92311><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=Solver92311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=807642\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "Let the faster train's speed be represented by <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large r\">.  Then the slower train's speed must be <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large r\ -\ 4\">.\r<BR>\n" );
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document.write( "Furthermore, because distance is equal to rate times time, the distances traveled by the two trains in two hours are <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large 2r\"> and <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large 2(r\,-\,4)\">.\r<BR>\n" );
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document.write( "Since the trains are traveling at right angles to each other, these two distances are the legs of a right triangle where we are given that the hypotenuse measures 42.80 miles.\r<BR>\n" );
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document.write( "Using the Pythagorean Theorem:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \(2r\)^2\ +\ \(2(r\,-\,4)\)^2\ =\ 42.80^2\">\r<BR>\n" );
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document.write( "Simplify and solve the quadratic for <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large r\">, remembering to round to the nearest integer when all of your calculations are complete.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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document.write( "From <https://www.algebra.com/cgi-bin/upload-illustration.mpl> <BR>\n" );
document.write( "I > Ø<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \ \\r\"> </SPAN>\n" );
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