document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=908873>Question 908873</A>: <I><SPAN STYLE=\"word-break: break-all;\"> One person travels north at the rate of 4 kilometers per 30 minutes. The other travels east at a rate of 1 kilometer more than the first persons rate over 10 fewer minutes. After a while they called each other and at that time the shortest distance between them was 6.8 kilometers. How many minutes after they departed was this phone call made? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #551401 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=551401\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> One person travels north at the rate of 4 kilometers per 30 minutes. The other travels east at a rate of 1 kilometer more than the first persons rate over 10 fewer minutes. After a while they called each other and at that time the shortest distance between them was 6.8 kilometers. How many minutes after they departed was this phone call made?\r<BR>\n" );
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document.write( "One person travels north at the rate of 4 kilometers per 30 minutes. <BR>\n" );
document.write( "= 8 km/h\r<BR>\n" );
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document.write( "The other travels east at a rate of 1 kilometer more than the first persons rate over 10 fewer minutes.<BR>\n" );
document.write( "5 km in 20 minutes<BR>\n" );
document.write( "15km/h\r<BR>\n" );
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document.write( "The time taken by both is the same<BR>\n" );
document.write( "d=rt<BR>\n" );
document.write( "the distances traveled by them are \r<BR>\n" );
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document.write( "8t & 15t<BR>\n" );
document.write( "They are travelling at right angles\r<BR>\n" );
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document.write( "using Pythagoras theorem\r<BR>\n" );
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document.write( "(8t)^2+(15t)^2= (6.8)^2\r<BR>\n" );
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document.write( "64t^2+225t^2=46.24\r<BR>\n" );
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document.write( "289t^2= 46.24<BR>\n" );
document.write( "t^2= 46.24/289\r<BR>\n" );
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document.write( "t^2=0.16\r<BR>\n" );
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document.write( "t=0.4 hours\r<BR>\n" );
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document.write( "0.4 * 60 = 24 minutes\r<BR>\n" );
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document.write( " they called each other after 24 minutes<BR>\n" );
document.write( " </SPAN>\n" );
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