document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=315464>Question 315464</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two straight roads intersect at right angles. At 10:00 a.m. a car passes through the<BR>\n" );
document.write( "intersection headed due east at 30 miles per hour. At 11:00 a.m. a truck heading due<BR>\n" );
document.write( "north at 40 miles per hour passes through the intersection. Assume that the two vehicles<BR>\n" );
document.write( "maintain the given speeds and directions. At what rate are they separating at 1:00 p.m.? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #225798 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=225798\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Two straight roads intersect at right angles.<BR>\n" );
document.write( " At 10:00 a.m. a car passes through the intersection headed due east at 30 miles per hour.<BR>\n" );
document.write( " At 11:00 a.m. a truck heading due north at 40 miles per hour passes through the intersection. <BR>\n" );
document.write( "Assume that the two vehicles maintain the given speeds and directions.<BR>\n" );
document.write( " At what rate are they separating at 1:00 p.m.?<BR>\n" );
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document.write( "From the given information:<BR>\n" );
document.write( "At 1 pm:<BR>\n" );
document.write( "truck travel time = 2 hrs<BR>\n" );
document.write( "Car travel time = 3 hrs<BR>\n" );
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document.write( "Find the dist between the vehicles using pythag: c^2 = a^2 + b^2<BR>\n" );
document.write( "Distance at 2 PM <BR>\n" );
document.write( "a = 4(30) = 120 mi<BR>\n" );
document.write( "b = 3(40) = 120 mi<BR>\n" );
document.write( "c = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28120%5E2+%2B+120%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%28120%5E2+%2B+120%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "c = 169.7 mi apart at 2 PM<BR>\n" );
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document.write( "Find the distance at 12 noon<BR>\n" );
document.write( "a = 2(30) = 60 mi<BR>\n" );
document.write( "b = 1(40) = 40 mi<BR>\n" );
document.write( "c = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2860%5E2+%2B+40%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%2860%5E2+%2B+40%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "c = 72.1 mi apart at 12 noon<BR>\n" );
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document.write( "12 noon to 2 pm separation distance: 169.7 - 72.1 = 97.6 mi<BR>\n" );
document.write( "Average rate of separation 97.6/2 = 48.8 mph separation rate at 1 pm </SPAN>\n" );
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