document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=206941>Question 206941</A>: <I><SPAN STYLE=\"word-break: break-all;\"> two boats travel at right angles to each other after leaving a dock at the same time. one hour later they are 25 miles apart. if one boat travels 5 miles per hour faster than the other, what is the rate of each?(Hint: use the pythagorean theorem). </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #156446 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=156446\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> two boats travel at right angles to each other after leaving a dock at the same time. one hour later they are 25 miles apart. if one boat travels 5 miles per hour faster than the other, what is the rate of each?<BR>\n" );
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document.write( "Draw the picture labeling the hypotenuse of the rt. triangle as 25,<BR>\n" );
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document.write( "Slower boat DATA:<BR>\n" );
document.write( "rate = x mph ; time = 1 hr. ;distance = rt = x miles<BR>\n" );
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document.write( "Faster boat DATA:<BR>\n" );
document.write( "rate = x+5 mph ; time = 1 hr. ; distance = rt = x+5 miles<BR>\n" );
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document.write( "Label the legs of the rt. triangle as \"x\" and \"x+5\"<BR>\n" );
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document.write( "Use Pythagoras to solve for \"x\":<BR>\n" );
document.write( "x^2 + (x+5)^2 = 25^2<BR>\n" );
document.write( "2x^2 + 10x + 25 = 625<BR>\n" );
document.write( "2x^2 + 10x - 600 = 0<BR>\n" );
document.write( "x^2 + 5x - 300 = 0<BR>\n" );
document.write( "(x+20)(x-15) = 0<BR>\n" );
document.write( "Positive solution:<BR>\n" );
document.write( "x = 15 mph (rate of the slower boat)<BR>\n" );
document.write( "x+5 = 20 mph (rate of the faster boat)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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