document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=427046>Question 427046</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello, My question is:\r<BR>\n" );
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document.write( "\"The H.M.S. Dreadnaught is 10 miles north of Montauk and steaming due north at 15 miles/hour, while the U.S.S. Mona Lisa is 70 miles east of Montauk and steaming due east at an even 40 miles/hour. How fast is their distance apart increasing?\"\r<BR>\n" );
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document.write( "I know that will be the sum of miles that they are<BR>\n" );
document.write( "(10*15) + (70*40) = 2950\r<BR>\n" );
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document.write( "But, I don't the rest. I think it will be divided by something, but I don't know what. I'm stuck on that question. Can you please help me on that?\r<BR>\n" );
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document.write( "Thanks,\r<BR>\n" );
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document.write( "Cristian </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #296997 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=296997\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \"The H.M.S. Dreadnaught is 10 miles north of Montauk and steaming due north at 15 miles/hour, while the U.S.S. Mona Lisa is 70 miles east of Montauk and steaming due east at an even 40 miles/hour. How fast is their distance apart increasing?\"<BR>\n" );
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document.write( "I know that will be the sum of miles that they are<BR>\n" );
document.write( "(10*15) + (70*40) = 2950<BR>\n" );
document.write( "If you include units, you'll see a problem with that<BR>\n" );
document.write( "10 miles * 15 miles/hour = 150 sq miles/hr ?? Not good.<BR>\n" );
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document.write( "Their directions are 90º apart, so it's a right triangle.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5E2+=+15%5E2+%2B+40%5E2+=+1825 ALIGN=MIDDLE  ALT=\"r%5E2+=+15%5E2+%2B+40%5E2+=+1825\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "r = sqrt(1825) =~ 42.72 mph<BR>\n" );
document.write( "r = the speed of one relative to the other.<BR>\n" );
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document.write( "The distances have no effect on the relative speed. </SPAN>\n" );
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